Question

`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

Answer 1

`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)`