X2+18-10=0

To solve the equation \( x^2 + 18 - 10 = 0 \), first, simplify the equation: \[ x^2 + 8 = 0 \] Now, isolate \( x^2 \): \[ x^2 = -8 \] Next, take the square root of both sides: \[ x = \pm \sqrt{-8} \] Since \(-8\) can be expressed as \(-1 \times 8\), we can break it down further: \[ x = \pm \sqrt{-1 \cdot 8} = \pm i\sqrt{8} = \pm i \cdot 2\sqrt{2} \] Thus, the solutions to the equation are: \[ x = 2\sqrt{2}i \quad \text{and} \quad x = -2\sqrt{2}i \] In summary, the solutions are: \[ x = 2\sqrt{2}i \quad \text{or} \quad x = -2\sqrt{2}i \]