Solve for z.

Question

z2 = 121

Write your answers as integers or as proper or improper fractions in simplest form.

Answer 1

To solve the equation \( z^2 = 121 \), we start by taking the square root of both sides.

The square root of 121 is 11, and we must consider both the positive and negative roots. Thus, we have:

\[ z = 11 \quad \text{or} \quad z = -11 \]

Therefore, the solutions are: \[ z = 11 \quad \text{and} \quad z = -11 \]