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 a…

Question

asked Apr 4, 2022 122k views

2 Answers

Jimw · Answer 1 · 2022-04-10T16:51:33+0000

Answer:

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)