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AnilSinghBora
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Find the roots of the following quadratic equations by factorisation:(ii) 2×2 + x – 6 = 0 Q.1(2)

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The factorisation method of the quadratic equations , how i solve this question please help me sir for solving this question Find the roots of the following quadratic equations by factorisation:(ii) 2×2 + x – 6 = 0

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  1. Given, 2x2 + x – 6 = 0

    Taking LHS,

    => 2x2 + 4x – 3x – 6

    => 2x(x + 2) – 3(x + 2)

    => (x + 2)(2x – 3)

    The roots of this equation, 2x2 + x – 6=0 are the values of x for which (x – 5)(x + 2) = 0

    Therefore, x + 2 = 0 or 2x – 3 = 0

    => x = -2 or x = 3/2

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