Question

solve using the square root property.
$4x^2 = 52$

the solution is $x = \square$.
(simplify your answer. type an exact answer, using radicals as ne

Explanation:

Step1: Isolate \(x^2\) term

Divide both sides of the equation \(4x^2 = 52\) by 4.
\(\frac{4x^2}{4}=\frac{52}{4}\)
Simplify to get \(x^2 = 13\).

Step2: Apply square root property

The square root property states that if \(x^2 = a\), then \(x=\pm\sqrt{a}\).
For \(x^2 = 13\), apply the property:
\(x=\pm\sqrt{13}\)

Answer:

\(\pm\sqrt{13}\)