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

If the roots of quadratic equation are equal , then the discriminant of the equation is `"______"`
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If the roots of quadratic equation are equal , then the discriminant of the equation is `"______"`
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If the discriminant of the equation `ax^(2) + bx + c = 0` is greater than zero, then the roots are `"______"`.

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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

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

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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)`.

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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)

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

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

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

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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 = \(\frac{7}{6}\).

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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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

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

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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

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

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

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

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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.

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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

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

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

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If the equation `3x^(2) - 2x-3 = 0`has roots `alpha`, and `beta` then `alpha.beta = "______"`.

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If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.

Description : If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.

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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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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

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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

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Last Answer : (c) x 2 – 5

What is true of the discriminant?

Description : What is true of the discriminant?

Last Answer : It discriminates between the conditions in which a quadraticequation has 0, 1 or 2 real roots.

For the expression `7x^(2) + bx +4 ` to be quadratic , the possible values of b are `"______"`.

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For the expression `ax^(2)+ 7x + 2` to be quadratic, the possible value of a are `"______"`.

Description : For the expression `ax^(2)+ 7x + 2` to be quadratic, the possible value of a are `"______"`.

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The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

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Last Answer : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

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 `"______"`.

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The roots of the equation `x^(2) + ax + b = 0` are `"______"`.

Description : The roots of the equation `x^(2) + ax + b = 0` are `"______"`.

Last Answer : The roots of the equation `x^(2) + ax + b = 0` are `"______"`.

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

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.

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 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:

If the roots of the equation a(b – c) x^2 + b(c – a)x + c(a – b) = 0 are equal, then a, b, c are in : -Maths 9th

Description : If the roots of the equation a(b – c) x^2 + b(c – a)x + c(a – b) = 0 are equal, then a, b, c are in : -Maths 9th

Last Answer : As we know that for the quadratic equation ax2+bx+c=0, roots will be equal if D=B2−4AC=0 Therefore, for the equation, a(b−c)x2+b(c−a)x+c(a−b)=0 A=a(b−c),B=b(c−a),C=c(a−b) D=0 B2−4AC=0 (b(c−a))2−4(a(b−c))(c(a−b))=0 ⇒ab+bc=2ac Hence a,b and c are in HP.

If the equation (a^2 + b^2) x^2 – 2 (ac + bd)x + (c^2 + d^2) = 0 has equal roots, then which one of the following is correct ? -Maths 9th

Description : If the equation (a^2 + b^2) x^2 – 2 (ac + bd)x + (c^2 + d^2) = 0 has equal roots, then which one of the following is correct ? -Maths 9th

Last Answer : The given quadratic equation is (a2 + b2)x2 − 2(ac + bd)x + (c2 + d2) = 0. If the roots of given quadratic equation are equal, then its discriminant is zero.

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 the roots of the equation (b – c)x2 + (c – a)x + (a – b) = 0 are equal, then prove that 2b = a + c. -Maths 10th

Description : If the roots of the equation (b – c)x2 + (c – a)x + (a – b) = 0 are equal, then prove that 2b = a + c. -Maths 10th

Last Answer : following is the equation of 2b = a+c =

If the roots ff the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are equal, then prove that either a = 0 or a3 + b3 + c3 = 3abc -Maths 10th

Description : If the roots ff the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are equal, then prove that either a = 0 or a3 + b3 + c3 = 3abc -Maths 10th

Last Answer : (c2 – ab) x2 + 2(bc - a2 ) x+ (b2 – ac) = 0 Comparing with Ax2 + Bx + C = 0 A = (c2 – ab), B = 2(bc - a2 ) and C = b2 – ac According to the question, B2 - 4AC = 0 Put the values in the above equation we get 4a(a3 + b3 + c3 -3abc) = 0 hence, a = 0 or a3 + b3 + c3 = 3ab

The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0

Description : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0

Last Answer : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , ... -1 B. 0 C. `(1)/(2)` D. 1

If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of

Description : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of

Last Answer : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315 ... is A. `10` B. `20` C. `50` D. `80`

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.)