Answer:To solve the quadratic equation x² - 49 = 0, we can follow these steps:1. Add 49 to both sides of the equation:[tex] {x}^{2} = 49[/tex]2. Take the square root of both sides to solve for x:[tex] \sqrt{ {x}^{2} } = \sqrt{49} [/tex]3. Calculate the square root of 49:[tex]x = + - 7[/tex]Therefore, the solutions to the quadratic equation x² - 49 = 0 are x = 7 and x = -7