Question

solve the equation.
round your answer to the nearest hundredth.
$4x^2 - 8 = 0$
if there is more than one solution, separate them with commas.
$x = \square$

Explanation:

Step1: Isolate the \(x^2\) term

Add 8 to both sides of the equation \(4x^2 - 8 = 0\):
\(4x^2 = 8\)

Step2: Solve for \(x^2\)

Divide both sides by 4:
\(x^2=\frac{8}{4}=2\)

Step3: Solve for \(x\)

Take the square root of both sides. Remember, a square root has two solutions (positive and negative):
\(x = \pm\sqrt{2}\)

Step4: Approximate to the nearest hundredth

\(\sqrt{2}\approx1.41\), so \(x\approx1.41\) or \(x\approx - 1.41\)

Answer:

\(1.41, -1.41\)