For $2 x^{2} + 5 x - 7 = 0$ , roots are:

- 1

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1

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\frac{2}{7}

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\frac{- 7}{2}

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Solution

The correct option is D $\frac{- 7}{2}$
The given equation is $2 x^{2} + 5 x - 7 = 0$
Here the sum of the coefficients is $2 + 5 - 7 = 0$
If $a + b + c = 0$ for an equation $a x^{2} + b x + c = 0$ , then the roots are $1$ and $\frac{c}{a}$ .
$\Rightarrow$ the roots of this equation are $1$ and $\frac{- 7}{2}$ .

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