If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, the numerically greater root has `"_____"` sign. [p

If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, the numerically greater root has `"_____"` sign. [p
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If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, ... root has `"_____"` sign. [positive/negative]
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In quadratic equation ax^2 + bx + c = 0 , Identities the sum and product of Roots? -Maths 9th

Description : In quadratic equation ax^2 + bx + c = 0 , Identities the sum and product of Roots? -Maths 9th

Last Answer : If the two roots of the quadratic equation ax2 + bx + c = 0 obtained by the quadratic formula be denoted by a and b, then we have α = \(\frac{-b+\sqrt{b^2-4ac}}{2a},\) β = \(\frac{-b-\sqrt{b^2-4ac}}{2a}\) ∴ Sum of roots ... then α + β = - (- \(\frac{5}{6}\)) = \(\frac{5}{6}\), ab = \(\frac{7}{6}\).

If the sum as well as the product of roots of a quadratic equation is 9, then the equation is: -Maths 9th

Description : If the sum as well as the product of roots of a quadratic equation is 9, then the equation is: -Maths 9th

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If p, q, r are positive and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are real for : -Maths 9th

Description : If p, q, r are positive and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are real for : -Maths 9th

Last Answer : Given p,q,r are in A.P. then q=2p+r​.....(1). Now px2+qx+r=0 will have real root then q2−4pr≥0. or, 4(p+r)2​−4pr≥0 or, p2+r2−14pr≥0 or, r2−14rp+49p2≥48p2 or, (r−7p)2≥(43​p)2 or, (pr​−7)2≥(43​)2 [ Since p=0 for the given equation to be quadratic] or, ∣∣∣∣∣​pr​−7∣∣∣∣∣​≥43​.

The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is 16. The least common multiple of the two

Description : The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is 16. The least common multiple of the two

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If `alpha` and `beta` are the roots of the quadratic equation `x^(2) + 3x - 4 = 0`, then `alpha^(-1) + beta^(-1) = "_____"`.

Description : If `alpha` and `beta` are the roots of the quadratic equation `x^(2) + 3x - 4 = 0`, then `alpha^(-1) + beta^(-1) = "_____"`.

Last Answer : If `alpha` and `beta` are the roots of the quadratic equation `x^(2) + 3x - 4 = 0`, then `alpha^(-1) + beta^(-1) = "_____"`.

A quadratic equation whose roots are 2 moe than the roots of the quadratic equation `2x^(2) +3x + 5 = 0`, can be obtained by substituting `"_____"` fo

Description : A quadratic equation whose roots are 2 moe than the roots of the quadratic equation `2x^(2) +3x + 5 = 0`, can be obtained by substituting `"_____"` fo

Last Answer : A quadratic equation whose roots are 2 moe than the roots of the quadratic equation `2x^(2) +3x + 5 = 0`, can be ... `"_____"` for x. `[(x-2)//(x+2)]`

The quadratic equation having roots `-a,-b` is `"_____"`.

Description : The quadratic equation having roots `-a,-b` is `"_____"`.

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The roots of a quadratic equation `ax^(2) + bx + c=0` are 1 and `c/a`, then `a + b = "_____"`.

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Let p and q be the roots of the quadratic equation x^2 – (a – 2)x – a – 1 = 0. What is the minimum possible value of p^2 + q^2 ? -Maths 9th

Description : Let p and q be the roots of the quadratic equation x^2 – (a – 2)x – a – 1 = 0. What is the minimum possible value of p^2 + q^2 ? -Maths 9th

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For which value of `p` among the following, does the quadratic equation `3x^(2) + px + 1 = 0` have real roots ?

Description : For which value of `p` among the following, does the quadratic equation `3x^(2) + px + 1 = 0` have real roots ?

Last Answer : For which value of `p` among the following, does the quadratic equation `3x^(2) + px + 1 = 0` have real roots ?

If the roots of the quadratic equation `4x^(2) -16x + p = 0`, are real and unequal, then find the value/s of p.

Description : If the roots of the quadratic equation `4x^(2) -16x + p = 0`, are real and unequal, then find the value/s of p.

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Explain Nature of Roots of a quadratic equation. -Maths 9th

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What are the roots of the quadratic equation a^2 b^2 x^2 – (a^2 + b^2)x + 1 = 0 ? -Maths 9th

Description : What are the roots of the quadratic equation a^2 b^2 x^2 – (a^2 + b^2)x + 1 = 0 ? -Maths 9th

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The quadratic equation whose roots are three times the roots of 3ax^2 + 3bx + c = 0 is -Maths 9th

Description : The quadratic equation whose roots are three times the roots of 3ax^2 + 3bx + c = 0 is -Maths 9th

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Find the roots of quadratic equation `ax^(2) + (a-b + c) x - b +c = 0`.

Description : Find the roots of quadratic equation `ax^(2) + (a-b + c) x - b +c = 0`.

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If `k_(1)` and `k_(2)` are roots of `x^(2) - 5x - 24 = 0`, then find the quadratic equation whose roots are `-k_(1)` and `-k_(2)`.

Description : If `k_(1)` and `k_(2)` are roots of `x^(2) - 5x - 24 = 0`, then find the quadratic equation whose roots are `-k_(1)` and `-k_(2)`.

Last Answer : If `k_(1)` and `k_(2)` are roots of `x^(2) - 5x - 24 = 0`, then find the quadratic equation whose roots are `-k_(1)` and `-k_(2)`.

Find the quadratic equation in x whose roots are `(-7)/(2)` and `(8)/(3)`.

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If `alpha, beta` are the roots of the quadratic equation `lx^(2) + mx + n = 0`,then evaluate the following expressions. (a) `alpha^(2) + beta^(2)` (b)

Description : If `alpha, beta` are the roots of the quadratic equation `lx^(2) + mx + n = 0`,then evaluate the following expressions. (a) `alpha^(2) + beta^(2)` (b)

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Find the value of m for which the quadratic equation , `3x^(2) + 10x + (m-3) = 0` has roots which are reciproal to each other.

Description : Find the value of m for which the quadratic equation , `3x^(2) + 10x + (m-3) = 0` has roots which are reciproal to each other.

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If the roots of a quadratic equation `ax^(2) + bx + c` are complex, then `b^(2) lt "____"`

Description : If the roots of a quadratic equation `ax^(2) + bx + c` are complex, then `b^(2) lt "____"`

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If the roots of quadratic equation are equal , then the discriminant of the equation is `"______"`

Description : If the roots of quadratic equation are equal , then the discriminant of the equation is `"______"`

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The zeroes of the quadratic polynomial x 2 + 99x + 127 are (a) both positive (b) both negative (c) one positive and one negative(d) both equal

Description : The zeroes of the quadratic polynomial x 2 + 99x + 127 are (a) both positive (b) both negative (c) one positive and one negative(d) both equal

Last Answer : (b) both negative

If one root of the quadratic equation `ax^(2) + bx + c = 0` is `15 + 2sqrt(56)` and `a,b` and c are rational, then find the quadratic equation.

Description : If one root of the quadratic equation `ax^(2) + bx + c = 0` is `15 + 2sqrt(56)` and `a,b` and c are rational, then find the quadratic equation.

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if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the increasing sequence of positive root

Description : if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the increasing sequence of positive root

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The value of off diagonal elements is a) sum of admittances connected at bus j b) which is connected between bus i and bus j with positive sign c) which is connected between bus i and bus j with negative sign d) sum of admittances connected at bus i

Description : The value of off diagonal elements is a) sum of admittances connected at bus j b) which is connected between bus i and bus j with positive sign c) which is connected between bus i and bus j with negative sign d) sum of admittances connected at bus i

Last Answer : c) which is connected between bus i and bus j with negative sign

What is the ratio of sum of squares of roots to the product of the roots of the equation 7x^2 + 12x + 18 = 0? -Maths 9th

Description : What is the ratio of sum of squares of roots to the product of the roots of the equation 7x^2 + 12x + 18 = 0? -Maths 9th

Last Answer : Let α, β be the roots of the equation 7x2 + 12x + 18 = 0. ∴ Required ratio = α2 + β2 : αβ = ​​−10849187 = −67 = – 6 : 7.

The sum of the roots of the equation (1/(x+a))+(1/(x+b))=1/c is zero. What is the product of the roots of the equation ? -Maths 9th

Description : The sum of the roots of the equation (1/(x+a))+(1/(x+b))=1/c is zero. What is the product of the roots of the equation ? -Maths 9th

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The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ? -Maths 9th

Description : The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ? -Maths 9th

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The minimum number of numerically equal vectors whose vector sum can be zero is

Description : The minimum number of numerically equal vectors whose vector sum can be zero is

Last Answer : The minimum number of numerically equal vectors whose vector sum can be zero is (A) 4 (B) 3 (C) 2 (D) 1

The product of the roots of the equation `1/(x+1) + (1)/(x-2) = (1)/(x+2)` is `"_____"`.

Description : The product of the roots of the equation `1/(x+1) + (1)/(x-2) = (1)/(x+2)` is `"_____"`.

Last Answer : The product of the roots of the equation `1/(x+1) + (1)/(x-2) = (1)/(x+2)` is `"_____"`.

Of the following quadratic equations, which is the one whose roots are 2 and – 15 ? -Maths 9th

Description : Of the following quadratic equations, which is the one whose roots are 2 and – 15 ? -Maths 9th

Last Answer : answer:

If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial. (a) x-5 (b) (x-5)(x+5) (c) x 2 – 5 (d) x 2 – 25

Description : If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial. (a) x-5 (b) (x-5)(x+5) (c) x 2 – 5 (d) x 2 – 25

Last Answer : (c) x 2 – 5

If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k. -Maths 9th

Description : If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k. -Maths 9th

Last Answer : Here a = 3, b = -k, c = 6 Sum of the zeroes, (α + β) = − = 3 …..(given) ⇒ −(−)3 = 3 ⇒ k = 9

If the sum of the roots of the equation ax^2 + bx + c = 0 is equal to the sum of their squares, then which one of the following is correct ? -Maths 9th

Description : If the sum of the roots of the equation ax^2 + bx + c = 0 is equal to the sum of their squares, then which one of the following is correct ? -Maths 9th

Last Answer : Given equation: ax2+bx+c=0 Let α and β be the roots of given quadratic equation Sum of the roots i.e. α+β=a−b Product of roots i.e. αβ=ac It is given that, Sum of the roots = Sum of squares of the roots i ... )2−2αβ i.e. a−b =(a−b )2−a2c i.e. −ab=b2−2ac i.e. ab+b2=2ac Hence, C is the correct option.

If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then the maximum value of the sum of the squares of

Description : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then the maximum value of the sum of the squares of

Last Answer : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then ... the roots is. A. 4 B. 3 C. `9//4` D. 2

Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.

Description : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.

Last Answer : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.

For the equation `2x^(2) - 3x + 5 = 0` sum of the roots is `"______"`.

Description : For the equation `2x^(2) - 3x + 5 = 0` sum of the roots is `"______"`.

Last Answer : For the equation `2x^(2) - 3x + 5 = 0` sum of the roots is `"______"`.

Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.

Description : Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.

Last Answer : Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.

If the roots of the equation ax^2 + bx + c = 0 are equal in magnitude but opposite in sign, then which one of the following is correct ? -Maths 9th

Description : If the roots of the equation ax^2 + bx + c = 0 are equal in magnitude but opposite in sign, then which one of the following is correct ? -Maths 9th

Last Answer : answer:

For what values of m does the equation, `mx^(2) + (3x-1)m + 2x + 5 = 0` have equal roots of opposite sign ?

Description : For what values of m does the equation, `mx^(2) + (3x-1)m + 2x + 5 = 0` have equal roots of opposite sign ?

Last Answer : For what values of m does the equation, `mx^(2) + (3x-1)m + 2x + 5 = 0` have equal roots of opposite sign ?

Help? How can I solve this form of quadratic equation?

Description : Help? How can I solve this form of quadratic equation?

Last Answer : Change it to the correct form by subtracting 3 from each side 2a^2 – a – 3 = 0 Then, one way to solve it is by factoring (2a + 3)(a – 1) = 0 This gives a = -3/2 , 1

How would one find the discriminant of a quadratic equation?

Description : How would one find the discriminant of a quadratic equation?

Last Answer : http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut17_quad.htm

What do you mean by a quadratic equation? -Maths 9th

Description : What do you mean by a quadratic equation? -Maths 9th

Last Answer : answer:

What is a quadratic equation with one variable ?

Description : What is a quadratic equation with one variable ?

Last Answer : An equation whose variable is one and the maximum power of the variable is 2 is called quadratic equation with one variable.

If `x = 1` is a solution of the quadratic equation `ax^(2) - bx + c = 0`, then b is equal to `"_______"`.

Description : If `x = 1` is a solution of the quadratic equation `ax^(2) - bx + c = 0`, then b is equal to `"_______"`.

Last Answer : If `x = 1` is a solution of the quadratic equation `ax^(2) - bx + c = 0`, then b is equal to `"_______"`.

What is the first step in solving a quadratic equation?

Description : What is the first step in solving a quadratic equation?

Last Answer : Need answer

In the quadratic equation ax2 plus bx plus c 0 if b2 - 4ac?

Description : In the quadratic equation ax2 plus bx plus c 0 if b2 - 4ac?

Last Answer : If you mean b^2 -4ac then it is the discriminant of a quadraticequation.If the discriminant equals 0 then the equation has 2 equalroots.If the discriminant is greater than 0 then the equation has 2different roots.If the discriminant is less than 0 then it has no realroots.

What is the name given to the equation PV=nRT? w) law of partial pressure x) ideal gas equation y) quadratic equation z) Raoult's equation

Description : What is the name given to the equation PV=nRT? w) law of partial pressure x) ideal gas equation y) quadratic equation z) Raoult's equation

Last Answer : ANSWER: X -- IDEAL GAS EQUATION

If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.

Description : If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.

Last Answer : If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.

If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?

Description : If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?

Last Answer : I think you mean the roots are prime numbers.Let the two roots be primes p and qThen the equation factorises to (x - p)(x - q) = 0 which can beexpanded to give:x² - (p + q)x + pq = 0Which comparing ... = 2(It doesn't matter if the other prime is even (2) or not as itcancels out from a - b.)