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Maharashtra State BoardSSC (English Medium) 10th Standard

Solve the following quadratic equation by factorisation method: x2 + 15x + 54 = 0 - Algebra Mathematics 1

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Question

Solve the following quadratic equation by factorisation method:

x2 + 15x + 54 = 0

Sum
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Solution

x2 + 15x + 54 = 0

∴ x2 + 9x + 6x + 54 = 0

∴ x (x + 9) + 6 (x + 9) = 0

∴ (x + 9) (x + 6) = 0

∴ x + 9 = 0 or x + 6 = 0

∴ x = −9 or x = −6

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