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Find the roots of the following quadratic equations by factorisation: x ^2 – 3x – 10 = 0
Dear studentGiven,x^2 – 3x – 10 =0Taking LHS,=>x^2 - 5x + 2x – 10=>x(x - 5) + 2(x - 5)=>(x - 5)(x + 2)The roots of this equation, x^2 – 3x – 10 = 0are the values of x for which (x - 5)(x + 2) = 0Therefore, x - 5 = 0or x + 2 = 0=> x = 5 or x = -2Thanks
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