Mathematics
Solve the following equation by factorization:
x2 - x = 156
Quadratic Equations
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Answer
Given,
⇒ x2 - x = 156
⇒ x2 - x - 156 = 0
⇒ x2 - 13x + 12x - 156 = 0
⇒ x(x - 13) + 12(x - 13) = 0
⇒ (x + 12)(x - 13) = 0
⇒ x + 12 = 0 or x - 13 = 0 [Using Zero-product rule]
⇒ x = -12 or x = 13.
Hence, x = {13, -12}.
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