Question

Complete the square to solve the equation below.

Check all that apply.
X²2-10x-1=13
A. 5-√39
B. -10-24
C. 5 + √39
D. 10+ √24

Answer 1

A and C

Explanation:

`1. \: {x}^(2) - 10x - 1 - 13 = 0 \\ 2. \: {x}^(2) - 10x - 14 = 0 \\ 3. \: x = (10 + 2 √(39) )/(2) \: \: (10 - 2 √(39) )/(2) \\ 4. \: x = 5 + √(39) \: \: 5 - √(39)`

Answer 2

A. and C.

Explanation:

x² -10x - 1 = 13

x² -10x = 14

x² - 10x + 25 = 14 + 25

(x - 5)^2 = 39

x - 5 = ± √39

x = 5 - √39, 5 + √39.