Question

solve the equation by the square root property.
$3x^2 + 6 = 24$
the solution set is
(simplify your answer. type an exact answer, using radicals as needed. use a comma to separate answers as needed.)

Explanation:

Step1: Isolate the $x^2$ term

Subtract 6 from both sides:
$3x^2 + 6 - 6 = 24 - 6$
$3x^2 = 18$

Step2: Solve for $x^2$

Divide both sides by 3:
$\frac{3x^2}{3} = \frac{18}{3}$
$x^2 = 6$

Step3: Apply square root property

Take square roots of both sides, accounting for positive and negative roots:
$x = \pm\sqrt{6}$

Answer:

$\sqrt{6}, -\sqrt{6}$