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Question
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
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Solution
x2 - 3x - 10 = 0
⇒ x2 - 5x + 2x - 10 = 0
⇒ x(x - 5) + 2(x - 5) = 0
⇒ (x - 5) (x + 2) = 0
⇒ x - 5 = 0 or x + 2 = 0
⇒ x = 5 and x = -2
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