Question: $$6 z ^ { 2 } = 5 4$$

Solution

To solve the equation \(6z^2 = 54\), follow these steps: First, divide both sides by 6 to isolate \(z^2\). \[ z^2 = \frac{54}{6} \] \[ z^2 = 9 \] Next, take the square root of both sides to solve for \(z\). \[ z = \pm \sqrt{9} \] \[ z = \pm 3 \] Therefore, the solutions are \(z = 3\) and \(z = -3\).