Question

if α+β r roots of x²+3x-4 find 1/α+1/α

Answer 1

if α and β are the roots of x²+3x-4,
sum of roots = α+β = -b/a = -3
product of roots = αβ = c/a = -4

$\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{ \beta + \alpha }{ \alpha \beta } = \frac{-3}{-4} = \frac{3}{4}$