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Find the roots of the equation 5x2 – 3x – 2 = 0. |
Answer» Given equation is 5x2 – 3x – 2 = 0. ⇒ 5x2 – 3x – 2 = 0. ⇒ 5x2 – 5x + 2x – 2 = 0 ⇒ 5x(x – 1) + 2(x – 1) = 0 ⇒ (5x + 2)(x – 1) = 0 Now, either 5x + 2 = 0 ⇒x = \(\frac{-2}{5}\) Or, x -1= 0 ⇒x = 1 Thus, the roots of the given quadratic equation are 1 and x = \(\frac{-2}{5}\) respectively. |
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