Question

If α, β, are the roots of 5x + 5x² + 6 = 0, then (1 + α) (1 + β) =

A)  – 4/3

B) 3/5

C) 6/5

D) - 6/5

Answer 1

Correct option is (C) 6/5

Sum of roots \(=\alpha+\beta=\frac{-b}a\) \(=\frac{-5}5=-1\)

Product of roots \(=\alpha\beta=\frac ca\) \(=\frac{6}{5}\)

Now, \((1+\alpha)(1+\beta)\) \(=1+\alpha+\beta+\alpha\beta\)

\(=1+\frac65-1=\frac65\)

Answer 2

Correct option is C) - 6/5