Question

X^2 - 8x = 3 by completing the square

Answer 1

Solving Quadratic Equations by Completing the Square Method

Answer:

`x = 4 +√(19)` and
`x = 4 -√(19)`

Explanation:

Recall:

`x^2 -2ax +a^2 = (x -a)^2`

`x^2 -8x = 3 \\ x^2 -8x +16 = 3 +16 \\ (x -4)^2 = 19 \\ x -4 = ±√(19) \\ x = 4 ±√(19)`