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Formation of a Quadratic Equation From It's Roots

if alpha and ...

Question

if alpha and beta are the two zeroes of the polynomial x2-6x=a, find alpha if beta is -2

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Solution

x^2 -6x -a =0

=> 6 = alpha + beta (sum of roots)

=> 6 = alpha -2

alpha = 8

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Similar questions

Q. If alpha and beta are the zeroes of the polynomial

x^{2} - 6 x + a

. Find alpha if beta = -2.

α

β

are the two zeroes of a polynomial

x^{2} + 6 x + a

then form a polynomial whose zeroes are

- α

- β

α, β, γ

are the zeroes of the cubic polynomial

4 x^{3} + 8 x^{2} - 6 x - 2

, find the values of the expressions given below:
$\alpha +\beta + \gamma , \alpha \beta + \beta \gamma + \gamma \alpha

a n d

\alpha \beta \gamma $.

α

β

are the zeros of the quadratic polynomial

f (x) = 6 x^{2} + x - 2

, find the value of

\frac{α}{β} + \frac{β}{α}

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Formation of a Quadratic Equation From It's Roots

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