The number of positive roots of $x^{7} + 3 x^{3} - 2 x^{3} + 7 x + 2 = 0$

atleast two

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atmost two

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atmost one

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atleast one

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Solution

The correct option is A atleast two
Consider the given function:

$x^{7} + 3 x^{3} - 2 x^{3} + 7 x + 2 = 0$

$u sin g t o d e s c a r t e s r u l e s i g n :$

$x^{7} + 3 x^{3} - 2 x^{3} + 7 x + 2 = 0$

$c h a n g e o f sin g :$

$+ + - + +$

$i t h a s p o s i t i v e r e a l r o o t = 2$

Hence this is the answer.

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