Question

Solve (x – 3)2 = 49. Select the values of x.

Answer 1

Explanation:

(x - 3)^2 = 49

Expanding the square we get:

x^2 - 6x + 9 = 49

x^2 - 6x - 40 = 0

This is a quadratic equation, which can be factored as (x - 8)(x + 5) = 0.

Thus, the solutions to the equation are x = 8 and x = -5.

So, the values of x are 8 and -5.