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Relation between Roots and Coefficients for Quadratic

The equation ...

Question

The equation whose roots are negative of the roots of the equation $8 x^{4} + 34 x^{3} + 19 x^{2} - 31 x + 6 = 0$ is $a x^{4} + b x^{3} + c x^{2} + d x + e = 0,$ then $a + b + c + d + e =$

6

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30

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- 30

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Solution

The correct option is B $30$
Replace $x$ by $- x$ ,
$8 x^{4} - 34 x^{3} + 19 x^{2} + 31 x + 6 = 0$
$a + b + c + d + e = 30$

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