Question

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

Answer 1

Solving Quadratic Equations by Completing the Square Method

Answer:

$x = 4 +\sqrt{19}$ and $x = 4 -\sqrt{19}$

Step-by-step explanation:

Recall:

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

$x^2 -8x = 3 \\ x^2 -8x +16 = 3 +16 \\ (x -4)^2 = 19 \\ x -4 = ±\sqrt{19} \\ x = 4 ±\sqrt{19}$