Question

solve for x.
81x² - 64 = 0
write your answers as integers or simplified fractions.
x = □ or x = □

Explanation:

Step1: Isolate \(x^2\) term

Add 64 to both sides: \(81x^2 = 64\)

Step2: Solve for \(x^2\)

Divide both sides by 81: \(x^2=\frac{64}{81}\)

Step3: Take square root

\(x = \pm\sqrt{\frac{64}{81}}=\pm\frac{8}{9}\)

Answer:

\(x = \frac{8}{9}\) or \(x = -\frac{8}{9}\)