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Mathematics

Solve the following equation by factorization:

x2 - 11x = 42

Quadratic Equations

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Answer

Given,

⇒ x2 - 11x = 42

⇒ x2 - 11x - 42 = 0

⇒ x2 - 14x + 3x - 42 = 0

⇒ x(x - 14) + 3(x - 14) = 0

⇒ (x + 3)(x - 14) = 0

⇒ x + 3 = 0 or x - 14 = 0      [Using Zero-product rule]

⇒ x = -3 or x = 14.

Hence, x = {14, -3}.

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