Question

solve the equation by the square root property.
$5x^2 + 8 = 38$

the solution set is
(simplify your answer. type an exact answer, using radicals as needed. use a comma to

Explanation:

Step1: Isolate the $x^2$ term.

Subtract 8 from both sides:
$5x^2 + 8 - 8 = 38 - 8$
$5x^2 = 30$

Step2: Solve for $x^2$.

Divide both sides by 5:
$\frac{5x^2}{5} = \frac{30}{5}$
$x^2 = 6$

Step3: Apply square root property.

Take square roots of both sides:
$x = \pm\sqrt{6}$

Answer:

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