Quadratic EquationHard
Question
Suppose 1, 2, 3 are the roots of the equation $x^{4} + ax^{2} + bx = c$. Then the value of $c$ is
Options
A.25
B.8
C.24
D.36
Solution
$$\begin{matrix} & x^{4} + ax^{2} + bx - c = 0{\underset{a}{2}}_{2}^{1 + 2 + 3 + \alpha} = 0 \Rightarrow \alpha = - 6 \\ & \ \Rightarrow \ \begin{matrix} - c & \ = 1(2)(3)(\alpha) = 6\alpha = - 36 \\ c & \ = 36 \end{matrix} \end{matrix}$$
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