Chapter 11.5, Problem 33STP

To determine

To Find: The correct option for the value of $x$ .

Answer to Problem 33STP

The correct option is $C$ .

Explanation of Solution

Given:

The given equation is $\left(x+5\right)\left(x-4\right)=10$ .

Calculation:

The given equation is,

  $\left(x+5\right)\left(x-4\right)=10$

Solve the equation as,

  $\begin{array}{l}{x}^2-4x+5x-20=10\\ x^2+x-30=0\\ x\left(x+6\right)-5\left(x+6\right)=0\\ \left(x-5\right)\left(x+6\right)=0\end{array}$

Then,

  $x=5,-6$

Thus, the correct option is $C$ .