Question

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

Answer 1

Answer:

x = 4 ± $\sqrt{19}$

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± $\sqrt{19}$ ( add 4 to both sides )

x = 4 ± $\sqrt{19}$

Answer 2

Answer:

Step-by-step explanation:

x²-8x=3

add (-4)² or 16

x²-8x+16=3+16

(x-4)²=19

x-4=±√19

x=4±√19