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

1 Answer

Answer :

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

Related questions

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

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

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

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.

Last Answer : 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 `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 `"_______"`.

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:

Description : If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Last Answer : Let the roots of the equation x3 – ax2 + bx – c = 0 be (α – 1), α, (α + 1) ∴ S2 = (α – 1)α + α(α + 1) + (α + 1) ( ... ; 1 = b ⇒ 3α2 – 1 = b ∴ Minimum value of b = – 1, when α = 0.

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.

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

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

Description : Which one of the following is the equation whose roots are respectively three times the roots of the equation ax^2 + bx + c = 0 ? -Maths 9th

Last Answer : answer:

Description : If the roots of the equation `ax^(2) + bx + c = 0` are in the ratio of `3 : 4`,

Last Answer : If the roots of the equation `ax^(2) + bx + c = 0` are in the ratio of `3 : 4`,

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

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

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.

Description : A body is projected from ground with speed 20 m/s making an angle of `45^(@)` with horizontal. The equation of path is `h = Ax-Bx^(2)`, where h is hei

Last Answer : A body is projected from ground with speed 20 m/s making an angle of `45^(@)` with horizontal. The equation of path ... B. 5 : 1 C. 1 : 40 D. 40 : 1

Description : If a, b, c are distinct positive integers, then ax^(b–c) + bx^(c–a) + cx^(a–b) is -Maths 9th

Last Answer : answer:

Description : If (x^2 – 1) is a factor of ax^4 + bx^3 + cx^2 + dx + e, then : -Maths 9th

Last Answer : answer:

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

Last Answer : answer:

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

Last Answer : 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 `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) = "_____"`.

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)`.

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)

Last Answer : If `alpha, beta` are the roots of the quadratic equation `lx^(2) + mx + n = 0`,then evaluate the following ... ) `1/(alpha^(3)) + 1/(beta^(3))`

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

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

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

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

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.)

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

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

Description : If ax + by = a2 – b2 and bx + ay = 0, find the value of (x + y). -Maths 10th

Last Answer : Given, ax+by=a2−b2......(1) bx+ay=0.......(2). Now adding (1) and (2) we get, x(a+b)x+(a+b)y=a2−b2 or, (a+b)(x+y)=a2−b2 or, x+y=a−b.

Description : In triangle ABC, angle B =35° , angle C =65° and the bisector of angle BAC meets BC in X. Arrange AX, BX and CX in descending order. -Maths 9th

Last Answer : NEED ANSWER

Description : In triangle ABC, angle B =35° , angle C =65° and the bisector of angle BAC meets BC in X. Arrange AX, BX and CX in descending order. -Maths 9th

Last Answer : This answer was deleted by our moderators...

Description : If x(square) - 1 is a factor of ax(cube) + bx(square) + cx + d,show that a+c=0. -Maths 9th

Last Answer : Solution :-

Description : Find the condition that one root of ax^2 + bx + c = 0 may be four times the other. -Maths 9th

Last Answer : answer:

Description : If the expression ax^2 + bx + c is equal to 4, when x = 0, leaves a remainder 4 when divided by x + 1 and leaves a -Maths 9th

Last Answer : Given exp. f(x) = ax2 + bx + c ∴ When x = 0, a.0 + b.0 + c = 4 ⇒ c = 4. The remainders when f(x) is divided by (x + 1) and (x + 2) respectively are f(–1) and f(–2). ∴ f( ... 2b = 2 ...(ii) Solving (i) and (ii) simultaneously we get, a = 1, b = 1.

Description : If (x – 1) is a factor of Ax^3 + Bx^2 – 36x + 22 and 2^B = 64^A, find A and B ? -Maths 9th

Last Answer : Solution:- x - 1 = 0 x = 1 Let p(x) = Ax³ + Bx² - 36x + 22 p(1) = A(1)³ + B(1)² - (36 × 1) + 22 ⇒ A + B - 36 + 22 =0 ⇒ A + B - 14 = 0 ⇒ A + B = 14 ....... ... 22 p(1) = 2(1)³ + 12(1)² - (36 × 1) + 22 ⇒ 2 + 12 - 36 + 22 ⇒ 36 - 36 = 0

Description : The values of a, b and c respectively for the expression f(x) = x^3 + ax^2 + bx + c, if f(1) = f(2) = 0 and f(4) = f(0) are : -Maths 9th

Last Answer : f′(x)=3x2+2ax+6 f(x)⇒f′(x)≥0 3x2+2ax+6≥0 ⇒D≤0 4[a2−3b]≤0 a2≤3b ∴P=6×6×6(16)×6​=3616​=94​ Answer.

Description : If ax^3 + bx^2 + x – 6 has (x + 2) as a factor and leaves a remainder 4, when divided by (x – 2), the value of a and b respectively are : -Maths 9th

Last Answer : Let p(x) = ax³ + bx² + x - 6 A/C to question, (x + 2) is the factor of p(x) , and we know this is possible only when p(-2) = 0 So, p(2) = a(-2)³ + b(-2)² - 2 - 6 = 0 ⇒ ... --(2) solve equations (1) and (2), 4a = 0 ⇒a = 0 and b = 2 Then, equation will be 2x² + x - 6

Description : 3a plus 3b plus ax plus bx?

Last Answer : 6a square plus b square

Description : MOVE AX BX in this LINES OF CODE what type of error is declared: a. Undeclared identifier MOVE b. undeclared identifier AX c. Accept as a command d. Not look in symbol table

Last Answer : a. Undeclared identifier MOVE

Description : What is the output of the following code AL= -28 decimal, BL=59 decimal IMUL BL AX=? , MSB=? a) AX= F98CH, MSB=1. b) AX= 1652, MSB=1. c) BX F9C8H, MSB=1. d) BX= 1652, MSB=1.

Last Answer : a) AX= F98CH, MSB=1.

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

Last Answer : answer:

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

Last Answer : answer:

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​.

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

Last Answer : answer:

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

Last Answer : answer:

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

Last Answer : The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is ... A. 18240 B. 18480 C. 18960 D. 19240

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 ?

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

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

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.

Last Answer : 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 : 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)]`

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

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

Description : 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

Last Answer : If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, ... root has `"_____"` sign. [positive/negative]

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

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

Description : If one of the roots of the equation x^2 + ax + 3 = 0 is 3 and one of the roots of the equation x2 + ax + b = 0 is three -Maths 9th

Last Answer : answer: