Question

Maya Liam and Zoe are discussing the solution set to the equation x squared - 4 = 0 which person has found the correct solution set Maya says the solution is two Liam says the solution is negative 22 Zoe says the solution is negative 2

Answer 1

Let's solve the equation \( x^2 - 4 = 0 \).

1. First, we can rewrite the equation as:
\[ x^2 = 4 \]

2. Next, we take the square root of both sides:
\[ x = \pm 2 \]

Thus, the solutions are \( x = 2 \) and \( x = -2 \).

Now, let's evaluate the claims made by Maya, Liam, and Zoe:
- Maya says the solution is \( 2 \) (correct).
- Liam says the solution is \( -22 \) (incorrect).
- Zoe says the solution is \( -2 \) (correct).

Therefore, both Maya and Zoe have found correct solution values, while Liam did not. The correct solution set is \( \{2, -2\} \).