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Value of the roots of the quadratic equation, x^2 – x – 6 = 0 are ______. - Mathematics

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Question

Value of the roots of the quadratic equation, x2 – x – 6 = 0 are ______.

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Solution

Value of the roots of the quadratic equation, x2 – x – 6 = 0 are 3 and –2.

Explanation:

x2 – x – 6 = 0

x2 – 3x + 2x – 6 = 0

x(x – 3) + 2(x – 3) = 0

(x – 3)(x + 2) = 0

∴ x = 3 or x = –2

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2019-2020 (March) Basic - Outside Delhi set 1
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