Question

If alpha and beta are zeroes of the quadratic polynomial x^-6x+a,find the value of 'a'.If 3alpha +2beta =20

Answer 1

AS alpha and beta are zeroes

So alpha + beta = 6 ( - coeff. of x/ coefficient of x^2)......(1)

Also as given 3 alpha + 2 beta = 20

Multiply (1) by 3

3 alpha + 3 beta = 18

3 alpha + 2 beta = 20( given)

subtract

beta = -2

Put in given

3 alpha + 2(-2) = 20

3 alpha = 24

alpha = 8

As product of roots = alpha × beta = a

So 8× -2 = a

-16 = a

Answer 2

Here it is....

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