Question

If alfa and beta are the roots of x square plus x plus 1 equal to 0 then alpha by beta square plus beta by alpha square is equal to

Answer 1

Answer:

a

2

−2b

2

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.