Solve for z.

Question

z2 = 9

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

z =
or z =

Answer 1

To solve the equation \( z^2 = 9 \), we take the square root of both sides. This gives us two potential solutions:

\[ z = \sqrt{9} \quad \text{or} \quad z = -\sqrt{9} \]

Calculating the square roots:

\[ z = 3 \quad \text{or} \quad z = -3 \]

Therefore, the solutions are:

\[ z = 3 \quad \text{or} \quad z = -3 \]