To solve the equation \(-4 + x^4 = 3\), we can follow these steps: 1. Add 4 to both sides of the equation: \[ x^4 = 3 + 4 \] \[ x^4 = 7 \] 2. Now, take the fourth root of both sides: \[ x = \pm \sqrt[4]{7} \] Thus, the solutions are: \[ x = \sqrt[4]{7} \quad \text{and} \quad x = -\sqrt[4]{7} \] You can also express \(\sqrt[4]{7}\) as \(7^{1/4}\), so the solutions can be written as: \[ x = 7^{1/4} \quad \text{and} \quad x = -7^{1/4} \]