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Find the roots of the following quadratic equations by factorisation: 2x^2 – x +1/8 = 0 Find the roots of the following quadratic equations by factorisation: 2x^2 – x +1/8 = 0
Dear Student2x^2 – x +1/8 = 0Taking LHS, =1/8 (16x^2 - 8x + 1)= 1/8 (16x^2 - 4x -4x + 1)= 1/8 (4x(4x - 1) -1(4x - 1))= 1/8 (4x - 1)^2The roots of this equation, 2x^2 – x + 1/8 = 0,are the values of x for which (4x - 1)^2= 0Therefore,(4x - 1) = 0 or (4x - 1) = 0⇒ x = 1/4 or x = 1/4Thanks
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