165+х2=1

To solve the equation \( 165 + x^2 = 1 \), follow these steps:

1. Subtract 165 from both sides: \[ x^2 = 1 - 165 \] \[ x^2 = -164 \]

2. Since \( x^2 \) cannot be negative for real numbers, this means there are no real solutions. However, if you are looking for complex solutions, you can express the solution as: \[ x = \pm \sqrt{-164} \] \[ x = \pm \sqrt{164}i \] \[ x = \pm 2\sqrt{41}i \]

Thus, the solutions are: \[ x = 2\sqrt{41}i \quad \text{and} \quad x = -2\sqrt{41}i \]