Quadratic EquationHard

Question

How many roots does the equation $x^{4} = 5x + 2a$ possess depending on 'a'?

Options

A.if $a < - \frac{15}{16}\sqrt[3]{10}$
B.2 if $a > - \frac{15}{16}\sqrt[3]{10}$
C.3 if $a = - \frac{15}{16}\sqrt[3]{10}$
D.1 if $a = - \frac{15}{16}\sqrt[3]{10}$

Solution

$f(x) = x^{4} - 5x = 2a$

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