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Question

Find the sum and product of the roots of the quadratic equation $$5{x}^{2}-2x-7=0$$


Solution

Here $$a=5,\,\,b=-2,\,\,c=-7$$

Sum of the roots$$=\dfrac{-b}{a}=\dfrac{-\left(-2\right)}{5}=\dfrac{2}{5}$$

Product of the roots$$=\dfrac{c}{a}=\dfrac{-7}{5}$$

Mathematics

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