Question

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

Answer 1

x = 2 - 5
`√(3)`, x = 2 + 5
`√(3)`

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 = ±
`√(75)` = ± 5
`√(3)` ( add 2 to both sides )

x = 2 ± 5
`√(3)`

then

x = 2 - 5
`√(3)` , x = 2 + 5
`√(3)`