Question

Correct the errors and fill in the blanks by completing the square.

Answer 1

Answer:

x = 2 - 5$\sqrt{3}$, x = 2 + 5$\sqrt{3}$

Step-by-step explanation:

x² - 4x = 71

to complete the square

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

x² + 2(- 2)x + 4 = 71 + 4

(x - 2)² = 75 ( take the square root of both sides )

x - 2 = ± $\sqrt{75}$ = ± 5$\sqrt{3}$ ( add 2 to both sides )

x = 2 ± 5$\sqrt{3}$

then

x = 2 - 5$\sqrt{3}$ , x = 2 + 5$\sqrt{3}$