Find the truth set of the equation x2 = 3(2x + 9)

Mathematics

WAEC 2014

Find the truth set of the equation x² = 3(2x + 9)

A. {x : x = 3, x = 9}
B. {x : x = -3, x = -9}
C. {x : x = 3, x = -9}
D. {x : x = -3, x = 9}

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Correct Answer: Option D

Explanation

x² = 3(2x + 9)

x² = 6x + 27

x² - 6x - 27 = 0

x² - 9x + 3x - 27 = 0

x(x - 9) + 3(x - 9) = (x + 3)(x - 9) = 0

x + 3 = 0 or x - 9 = 0

x = -3 or x = 9

x = -3, x = 9

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Find the truth set of the equation x2 = 3(2x + 9)

Correct Answer: Option D

Explanation

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