Question

If α and β are the roots of x² − 3px + p² =  0 such that α² + β² = 7/4 then values of p are

(A) 2, 1

(B) 2, 1/2

(C) 1/2, 1

(D) 1/2, -1/2

Answer 1

Correct option is (D) 1/2, -1/2

x² − 3px + p² = 0

sum = α+β = 3p

product = αβ = p²

Answer 2

Correct option is D

x²−3px+p²=0

sum=α+β=3p

product=αβ=p²

α²+β²=(α+β)²=2αβ

7/4=(3p)²−2p²

7/4​=7p²

p²=1/4​p

=±1/2