9.) What are the values of x in the equation (x - 2)² = 49?
A. 2 and -7
B. -2 and 7
C. -5 and 9
D. 5 and -9
A. 2 and -7
B. -2 and 7
C. -5 and 9
D. 5 and -9
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Answer: 9 or the fifth choice. x is also - 5.
Step-by-step explanation:
x² - 2x - 2x + 4 = 49
x² - 4x = 45
x² - 2x = 45 + (- 2)²
x² - 2x = 45 + 4
(x - 2)² = 49
x - 2 = 7