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