Question

If alpha and beta are the zeros of the polynomial equal to x square + bx + c equal to zero then alpha + beta is equal to minus b by a

Answer 1

Given equation: x

2

−ax+b

2

=0

Sum of roots, α+β=a and

Product of roots, αβ=b 2

α 2+β 2=(α+β) 2−2αβ

⇒α 2 +β 2 =a 2−2b 2

Hence, B is the correct option.