Question

If α, β are the roots of the quadratic polynomial p(x) = x2

– (2t – 6) x + (3t + 1). Find the value of t, if

1
2
α+β = αβ .

Answer 1

Answer:

Step-by-step explanation:

α+β = 2t-6

αβ = 3t+1

1/2(α+β) = αβ

1/2(2t-6) = 3t+1

t-3=3t+1

2t = 4

t=2

Answer 2

Answer:

Step-by-step explanation:

α+β = 2t-6

αβ = 3t+1

1/2(α+β) = αβ

1/2(2t-6) = 3t+1

t-3=3t+1

2t = -4

t=-2