To solve the equation \(2^2 + x^2 = 3^2\), we can follow these steps:
Calculate \(2^2\) and \(3^2\): \[ 2^2 = 4 \quad \text{and} \quad 3^2 = 9 \]
Substitute these values back into the equation: \[ 4 + x^2 = 9 \]
Now, subtract 4 from both sides of the equation: \[ x^2 = 9 - 4 \] \[ x^2 = 5 \]
Finally, take the square root of both sides to find \(x\): \[ x = \pm \sqrt{5} \]
So, the solutions for \(x\) are: \[ x = \sqrt{5} \quad \text{or} \quad x = -\sqrt{5} \]