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Maharashtra State BoardSSC (English Medium) 10th Standard

Solve the Following Quadratic Equation : - Algebra

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Question

Solve the following quadratic equation :
x2 +8x + 15 = 0

Sum
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Solution

Given, x2 + 8x + 15 = 0

On splitting the middle term

x2 + 5x + 3x + 15 = 0

⇒ x(x + 5) + 3(x + 5) = 0

⇒ (x + 3)(x + 5) = 0

⇒ (x + 3) = 0 or (x + 5) = 0

⇒ x = – 3 or x = – 5

∴ – 3 and – 5 are the roots of the given quadratic equation.

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2018-2019 (March) Set 1

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