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Mathematics

Solve the following equation by factorisation:

x2 - 10x - 24 = 0

Quadratic Equations

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Answer

Given,

⇒ x2 - 12x + 2x - 24 = 0

⇒ x(x - 12) + 2(x - 12) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x + 2 = 0 or x - 12 = 0      [Using Zero-product rule]

⇒ x = -2 or x = 12.

Hence, x = -2 or x = 12.

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