X ^(2) - 8x = 3 solve by factoring please. I really need help I have no clue how to solve by factoring like I forgot the steps so can u work the steps out also please

Question

asked Apr 9, 2020 182k views

1 Answer

Bruno Laurinec · Answer 1 · 2020-04-14T05:03:08+0000

Answer:

x = 4 + √(19)

Explanation:

To solve by factoring, complete the square by dividing 8 from 8x in 2. Then square the result 4 to get 16. Add 16 to both sides.

$x^2 -8x = 3\\\\x^2 - 8x + 16 = 3 + 16\\\\(x-4)^2 = 19$

The equation is now factored. To solve, take the square root of both sides and solve for x.

$√((x-4)^2)  = √(19)\\\\x-4 = √(19) \\\\x = 4 + √(19)$