Question

If alpha and bita are the zeroes of the polynomial 2y2+7y+5, write the value of alpha+bita+ alphabita

Answer 1

2y² + 7y + 5 = 0
Here a = 2 , b = 7 , c = 5
α,β are 2 zeroes

So sum of the zeroes = α + β = - b/ca= -7/2

Product of zeroes = αβ = c/a = 5/2

Now just put the values
α + β + αβ = ( α + β) + αβ
= -7/2 + 5/2
= -2/2 = -1

So required answer is -1