Find all x such that|x2 − 5| = 4.

Sure, let's solve the equation step by step.

The given equation is |x² - 5| = 4.

This equation can be split into two separate equations because of the absolute value:

1. x² - 5 = 4
2. -(x² - 5) = 4

Let's solve each equation separately:

1. x² - 5 = 4 x² = 4 + 5 x² = 9 Taking the square root of both sides, we get x = 3 and x = -3.

2. -(x² - 5) = 4 -x² + 5 = 4 -x² = 4 - 5 -x² = -1 x² = 1 Taking the square root of both sides, we get x = 1 and x = -1.

So, the solutions to the equation |x² - 5| = 4 are x = 3, x = -3, x = 1, and x = -1.