Complete the square to solve the equation below.?

2016-07-12 4:17 pm
x2 - 10x - 2 = 17

A. x = 5 + ; x = 5 -
B. x = 5 + ; x = 5 -
C. x = 6 + ; x = 6 -
D. x = 5 + ; x = 5 -

回答 (2)

2016-07-12 4:25 pm
✔ 最佳答案
x² - 10x - 2 = 17

x² - 10x = 17 + 2

x² - 10x = 19

x² - 10x + 25 = 19 + 25

x² - 10x + 25 = 44

(x - 5)² = (± √44)²

x - 5 = ± √44

x - 5 = ± 2√11

x = 5 ± 2√11


x₁ = 5 + 2√11

x₂ = 5 - 2√11
2016-07-12 4:24 pm
x^2 - 10x - 2 = 17
(x - 5)^2 - 44 = 0
A. x = 5 + ; x = 5 -
B. x = 5 + ; x = 5 -
D. x = 5 + ; x = 5 -


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