49-x2=0

**Решение:** Given equation: \(49 - x^2 = 0\) To solve this quadratic equation, we need to isolate \(x\) on one side of the equation. Let's solve for \(x\): 1. Add \(x^2\) to both sides: \[ 49 - x^2 + x^2 = 0 + x^2 \] \[ 49 = x^2 \] 2. Take the square root of both sides: \[ \sqrt{49} = \sqrt{x^2} \] \[ 7 = |x| \] Since we took the square root, we need to consider both the positive and negative square roots. Therefore, the solutions for \(x\) are: \[ x = 7 \quad \text{or} \quad x = -7 \] So, the solutions for the given equation \(49 - x^2 = 0\) are \(x = 7\) and \(x = -7\).