Question 78

Find the roots of the quadratic equation : $$27x^2 + 57x - 14 = 0$$

Solution

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Expression : $$27x^2 + 57x - 14 = 0$$

=> $$27x^2 - 6x + 63x - 14 = 0$$

=> $$3x(9x - 2) + 7(9x - 2) = 0$$

=> $$(3x + 7) (9x - 2) = 0$$

=> $$x = \frac{2}{9} , \frac{-7}{3}$$

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