If the equation $x^{4} - 3 x^{3} + m x^{2} - 7 x + 3 = 0$ has four positive real roots. Then the value of m should always be greater than zero.

True

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False

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Solution

The correct option is A
True

Sum of the roots taken two at a time

$\sum α β = m$

Since all the roots are positive real numbers

m should also be positive

So, m > 0.

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