Question

A quadratic equation whose one root is 5 and product of whose root is -1. is​

Answer 1

Step-by-step explanation:

$\alpha = 5 \\ \alpha \beta = - 1 \\ 5 \beta = - 1 \\ \beta = \frac{ - 1}{5 }$

$\alpha + \beta = 5 - \frac{1}{5} \\ \: \: \: \: \: \: \: \: \: \: = \frac{25 - 1}{5} \\ \: \: \: \: \: \: \: \: \: \: = \frac{24}{5}$

Quadratic equation

$= {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - \frac{24}{5} x - 1$