Mathematics
Solve the following equation by factorization:
x2 - 30x + 216 = 0
Quadratic Equations
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Answer
Given,
⇒ x2 - 30x + 216 = 0
⇒ x2 - 18x - 12x + 216 = 0
⇒ x(x - 18) - 12(x - 18) = 0
⇒ (x - 18)(x - 12) = 0
⇒ (x - 18) = 0 or (x - 12) = 0 [Using Zero-product rule]
⇒ x = 18 or x = 12.
Hence, x = {18, 12}.
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