X2-3=5

To solve the equation \( x^2 - 3 = 5 \), follow these steps: 1. **Add 3 to both sides**: \[ x^2 - 3 + 3 = 5 + 3 \] This simplifies to: \[ x^2 = 8 \] 2. **Take the square root of both sides**: \[ x = \pm \sqrt{8} \] 3. **Simplify \(\sqrt{8}\)**: \[ \sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2} \] 4. **Write the final solution**: \[ x = \pm 2\sqrt{2} \] So the solutions are \( x = 2\sqrt{2} \) and \( x = -2\sqrt{2} \).