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

Find the roots of quadratic equation `ax^(2) + (a-b + c) x - b +c = 0`.
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Find the roots of quadratic equation `ax^(2) + (a-b + c) x - b +c = 0`.
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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 = \(\frac{7}{6}\).

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

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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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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

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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

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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

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

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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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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.)

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

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

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

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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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If one root of the equation ax^2 + x – 3 = 0 is –1, then what is the other root ? -Maths 9th

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

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

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If the difference in the roots of the equation x^2 – px + q = 0 is unity, then which one of the following is correct ? -Maths 9th

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