Question

If α and β are zeroes of polynomial p(x) = 5x2 + 5x + 1then find the value of a) α2 + β2 b) α-1 + β-1 c) α+β+ αβ​

Answer 1

Step-by-step explanation:

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