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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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