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Find the roots of the quadratic equation 2x2–x – 6 = 0. |
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Answer» Given quadratic equation is : 2x2 – x – 6 = 0. ∴ a = 2, b = – 1 & c = – 6. ∴ Roots of given quadratic equation are x = \(\frac{-b±\sqrt{b^2-4ac}}{{2a}}\) = \(\frac{-(-1)±\sqrt{(-1)^2-4\times 2\times -6}}{{2\times 2}}\) = \(\frac{1±\sqrt{1+48}}{{4}}\) = \(\frac{1±7}{4}\) = \(\frac{1+7}{4}\) and \(\frac{1-7}{4}\) = 2 and \(\frac{-6}{4}\) = 2 and \(\frac{-3}{2}\). Hence, The roots of the given equations are 2 and \(\frac{-3}{2}\). |
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