Question

Select the quadratic equation that has roots x=8 and x=-5

Answer 1

Explanation:

Since, x=8 and x=-5 are the roots.

Therefore, (x - 8) & (x - 5) will be factors.

Hence, required quadratic equation can be given as:

`(x - 8)(x - 5) =0 \\ \\ \therefore {x}^(2) + ( - 8 - 5) x+ ( - 8) * ( - 5) = 0 \\ \\ \therefore {x}^(2) + ( - 13) x+ 40= 0 \\ \\ \huge \red{ \boxed{ \therefore {x}^(2) - 13x+ 40= 0 }} \\ is \: the \: required \: quadratic \: equation.`