If α and β are the zeros of the polynomial 2x^2 - 5x + ... – Algebra

Algebrahard · Past Paper

If α and β are the zeros of the polynomial 2x^2 - 5x + 7, find the value of 1/α + 1/β.

A5/7

B-5/7

C7/5

D2/7

✓ Correct Answer: A — 5/7

1/α + 1/β = (α+β)/(αβ). Sum α+β = 5/2, Product αβ = 7/2. Ratio = (5/2)/(7/2) = 5/7.

Share this question