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:

\[ x = 2\sqrt{2}i \quad \text{or} \quad x = -2\sqrt{2}i \]