Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

Solve:

$x^2-4x-12=0$

Step-by-Step Solution

Answer

The solution set is $\left\{-2, 6\right\}$.

Step 1: Given information:

Consider the equation,

$x^2-4x-12=0$ , which is already in the standard form $a{x}^2+bx+c=0$.

Step 2:

The left side of the equation can be factored as,

$\left(x+2\right)\left(x-6\right)=0$

Step 3:

By Zero product property, we have,

$x+2=0$    or   $x-6=0$

$x=-2$              $x=6$