Question

if α and β are the zeroes of x^2+5x+6, then the value of 1/α+1/β is

Answer 1

Answer:

$\bold{ \frac{ - 5}{6} }$

Step-by-step explanation:

${x}^{2} + 5x + 6 \\ \alpha + \beta = \frac{ - b}{a} = \frac{ - 5}{1} = - 5 \\ \alpha \beta = \frac{c}{a} = \frac{6}{1} = 6 \\ find \: \frac{1}{ \alpha } + \frac{1}{ \beta } \\ \frac{ \alpha + \beta }{ \alpha \beta } = \frac{ - 5}{6} ans$