Question

solve the quadratic equation by the square root property.
3x² = 27
the solution set is
(simplify your answers. type exact answers, using radicals as needed. use a comma to separate answers

Explanation:

Step1: Isolate $x^2$ term

Divide both sides by 3:
$\frac{3x^2}{3} = \frac{27}{3}$
Simplify to get $x^2 = 9$

Step2: Apply square root property

Take square roots of both sides, accounting for positive and negative roots:
$x = \pm\sqrt{9}$

Step3: Simplify the radical

$\sqrt{9} = 3$, so $x = \pm 3$

Answer:

$\{-3, 3\}$