Answer:To solve the quadratic equation x^2 = 49, we need to find the values of x that satisfy the equation. 1. Take the square root of both sides: Taking the square root of both sides of the equation gives us:\sqrt{x^2} = \sqrt{49}2. Simplify: This simplifies to:x = \pm 7 Therefore, the solutions to the equation x^2 = 49 are x = 7 and x = -7.