Question

α and β are the roots of 4x² + 3x + 7 = 0, then the value of `1/α + 1/β` is:

Options

• `(-3)/4`

• `(-3)/7`

• `3/7`

• `7/4`

Answer 1

`(-3)/7`

Explanation:

Here α + β = `(-3)/4` and αβ = `7/4`

∴ `1/α + 1/β = (β + α)/(αβ) = ((-3)/4)/(7/4) = (-3)/7`