Question

If alpha and bita are zeroes of polynomial p(x)=5x²+5x+1.then find the value of a²+b² and a–¹+b–¹

Answer 1

Answer:

Correct option is

A

-2

For a quadratic equation, ax

2

+bx+c=0,

The sum of the roots=

a

−b

and product of the roots is

a

c

Here sum of roots= α+β=

2

−5

Product of roots=αβ=

2

1

Therefore,α+β+αβ=

2

−5

+

2

1

⇒ α+β+αβ=−2

Therefore,Option A is correct.