Mathematics
Solve the following equation by factorisation:
x(x - 5) = 24
Quadratic Equations
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Answer
Given,
⇒ x(x - 5) = 24
⇒ x2 - 5x = 24
⇒ x2 - 5x - 24 = 0
⇒ x2 - 8x + 3x - 24 = 0
⇒ x(x - 8) + 3(x - 8) = 0
⇒ (x + 3)(x - 8) = 0
⇒ x + 3 = 0 and x - 8 = 0
⇒ x = -3 and x = 8.
Hence, x = -3 and x = 8.
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