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Selecting Consecutive Terms in A.P

If the equati...

Question

If the equation $x^{4} - p x^{2} + 3 x + 5 = 0$ has 2 as a one root. Find the value of p.

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Solution

Since 2 is a root, it should satisfy the equation.

$2^{4} - 4 p + 6 + 5 = 0$

16 + 6 + 5 = 4p

4p = 27

$p = \frac{27}{4} = 6.75$

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