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 \( x = -2\sqrt{2} \).