Question

Complete the square to solve the equation below.

x2 - 10x - 2 = 17
A. X = 5 + 55 X = 5 - 155
B. X = 5+ 39; x = 5 - 79
C. X = 5 + 184 x = 5 - 744
D. X = 6 + 0 = 6 -
What is the answer?

Answer 1

*ANSWER:*

I think the answer is Option (B)

Explanation:

..........

Answer 2

x = 5 ±
`√(44)`

Explanation:

Given

x² - 10x - 2 = 17 ( add 2 to both sides )

x² - 10x = 19

To complete the square

add ( half the coefficient 0f the x- term )² to both sides

x² + 2(- 5)x + 25 = 19 + 25

(x - 5)² = 44 ( take the square root of both sides )

x - 5 = ±
`\sqrt{44` ( add 5 to both sides )

x = 5 ±
`√(44)`

Then solutions are

x = 5 -
`√(44)` , x = 5 +
`√(44)`