Question

solve the quadratic equation by the square root property.
$5x^2 = 45$
the solution set is
(simplify your answers. type exact answers, using radicals as needed. use a comma to separate answers as needed.)

Explanation:

Step1: Isolate $x^2$ term

Divide both sides by 5:
$\frac{5x^2}{5} = \frac{45}{5}$
$x^2 = 9$

Step2: Apply square root property

Take square root of both sides:
$x = \pm\sqrt{9}$

Step3: Simplify the radical

$\sqrt{9}=3$, so:
$x = \pm3$

Answer:

$\{-3, 3\}$