Write the sum and the product of the roots $2 x^{2} + 10 x - 5 = 0$ .

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Solution

The equation $2 x^{2} + 10 x - 5 = 0$ is of the form $a x^{2} + b x + c = 0$ where $a = 2, b = 10$ and $c = - 5$
Sum of the roots $= \frac{- b}{a} = \frac{- 10}{2} = - 5$
Product of the roots $= \frac{- 5}{2}$

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