The equation whose roots are negative of the roots of the equation $- 2 x^{2} + 3 x - 4 = 0$ is

4 x^{2} - 3 x + 2 = 0

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2 x^{2} + 3 x - 4 = 0

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2 x^{2} - 3 x + 4 = 0

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2 x^{2} + 3 x + 4 = 0

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Solution

The correct option is D $2 x^{2} + 3 x + 4 = 0$
$- 2 x^{2} + 3 x - 4 = 0$
Replace $x$ by $- x$ ,
$- 2 x^{2} - 3 x - 4 = 0$
$\Rightarrow 2 x^{2} + 3 x + 4 = 0$

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