Question

solve for ( a ). express your answer as an integer or integers or in simplest radical form. 9a^3 - 4 = -76 answer attempt 1 out of 2

Explanation:

Step1: Isolate the term with \(a\)

Add 4 to both sides of the equation \(9a^{3}-4 = - 76\) to get \(9a^{3}=-76 + 4\).
\(9a^{3}=-72\)

Step2: Solve for \(a^{3}\)

Divide both sides of the equation \(9a^{3}=-72\) by 9.
\(a^{3}=\frac{-72}{9}=-8\)

Step3: Solve for \(a\)

Take the cube root of both sides. Since \((-2)^{3}=-8\), we have \(a = \sqrt[3]{-8}=-2\).

Answer:

\(a=-2\)