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Solve the following quadratic equation by Factorisation method: x^2 + 7x + 10 = 0 - Algebra

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Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0

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Solution

x2 + 7x + 10 = 0
Splitting the middle term 7x as 2x + 5x, we get
x2 + 2x + 5x + 10 = 0
∴x(x + 2) + 5(x + 2) = 0
∴(x + 2)(x + 5) = 0
∴x + 2 = 0 or x + 5 = 0
∴x = –2 or x = –5

Concept: Solutions of Quadratic Equations by Factorization
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