Question

What are the solutions to the equation x2 - 8x = 10

Answer 1

Answer:

x = 4 ±√26

Step-by-step explanation:

Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0.  " ^ " indicates exponentiation.

Let's complete the square:

x^2 - 8 x can be rewritten as

x^2 - 8x + 16 - 16, and so

x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or

                                         (x - 4)^2 = 26

Taking the square root of both sides, we get:

x - 4 = ±√26, or

x = 4 ±√26