Questions: Solve the equation for x. x^2=16

Solution Steps

To solve the equation \(x^2 = 16\), we need to find the values of \(x\) that satisfy this equation. This involves taking the square root of both sides of the equation. Since squaring a number results in a positive value, the solutions will include both the positive and negative square roots of 16.

We start with the equation \(x^2 = 16\). To find the values of \(x\), we take the square root of both sides.

Taking the square root gives us two possible solutions: \[ x = \sqrt{16} \quad \text{and} \quad x = -\sqrt{16} \] Calculating these, we find: \[ x = 4 \quad \text{and} \quad x = -4 \]

Thus, the complete set of solutions for the equation \(x^2 = 16\) is: \[ x = \pm 4 \]

Final Answer