Solve the following by completing the square. x^2-14x=-37
A. x= -7+- √37
B. x= -7 +- 2 √3
C. x= 7 +- 2 √3
D. x= 7 +- √37
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Answer:
x = 7 + 2√3
Step-by-step explanation:
x² - 14x = -37
=> x² - 14x + 37 = 0
=> x² - 7x - 7x + 49 - 12 = 0
=> x(x - 7) - 7(x - 7) - 12 = 0
=> (x - 7)(x - 7) - (2√3)² = 0
=> (x - 7)² = (2√3)²
=> x - 7 = 2√3
x = 7 + 2√3
[ Note: If aⁿ = bⁿ , a = b ]
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