Mathematics
Solve the following equation by factorization:
x2 - 7x + 10 = 0
Quadratic Equations
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Answer
Given,
⇒ x2 - 7x + 10 = 0
⇒ x2 - 5x - 2x + 10 = 0
⇒ x(x - 5) - 2(x - 5) = 0
⇒ (x - 2)(x - 5) = 0
⇒ x - 2 = 0 or x - 5 = 0 [Using Zero-product rule]
⇒ x = 2 or x = 5
Hence, x = {2, 5}.
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