222. Ifaand B are the zeroes of the quadratic polynomials f(x)- -6x +

1.	222. Ifaand B are the zeroes of the quadratic polynomials f(x)- -6x + a, find the value of 'a
Answer» Polynomial P(x) = x² - 6 x + aGivenα andβ are the roots. To find a , if 3α + 2β = 20. ---(1) From the quadratic expression: α +β = 6 ---(2) and αβ = a --- (3) Multiply equation (2) by 2 and subtract from (1) to get: α = 20 -12 = 8 Substitute this value in(2) to get: β = 6-8 = -2 Substitute these in (3) to get: a =αβ = -16.

222. Ifaand B are the zeroes of the quadratic polynomials f(x)- -6x + a, find the value of 'a

Answer»

Polynomial P(x) = x² - 6 x + aGivenα andβ are the roots. To find a , if 3α + 2β = 20. ---(1)

From the quadratic expression: α +β = 6 ---(2) and αβ = a --- (3)

Multiply equation (2) by 2 and subtract from (1) to get: α = 20 -12 = 8

Substitute this value in(2) to get: β = 6-8 = -2

Substitute these in (3) to get: a =αβ = -16.