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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