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Find the roots of the following quadratic equations by factorisation: 2x ^2 + x – 6 = 0
Dear studentGiven,2x^2 + x – 6 = 0Taking LHS,=> 2x^2 + 4x - 3x - 6=> 2x(x + 2) - 3(x + 2)=> (x + 2)(2x - 3)The roots of this equation, 2x^2 + x – 6=0are the values of x for which (x - 5)(x + 2) = 0Therefore, x + 2 = 0 or 2x - 3 = 0=> x = -2 or x = 3/2Thanks
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