X²-10+25=0

To solve the equation \(x^2 - 10 + 25 = 0\), we first simplify it: 1. Combine like terms: \[ x^2 + 15 = 0 \] 2. Now, isolate \(x^2\): \[ x^2 = -15 \] 3. To solve for \(x\), take the square root of both sides: \[ x = \pm \sqrt{-15} \] 4. Since the square root of a negative number involves imaginary numbers, we can express this as: \[ x = \pm i\sqrt{15} \] Thus, the solutions to the equation \(x^2 - 10 + 25 = 0\) are: \[ x = i\sqrt{15} \quad \text{and} \quad x = -i\sqrt{15} \]