Chapter 12.1, Problem 59STP

To determine

To find : Quadratic equation of the roots

Answer to Problem 59STP

  $x^2+x-20=0$

Explanation of Solution

Given information :

The roots are, $4,-5$

Formula Used:

  $a{x}^2+bx+c=(x-\alpha )(x-\beta ),$ where $\alpha ,\beta$ are roots.

Calculation :

  $\begin{array}{l}(x-4)(x+5)=0\\ \Rightarrow x^2+5x-4x-20=0\\ \Rightarrow x^2+x-20=0\end{array}$