[tex] \bold{f(x)}[/tex]has a rational coefficients so the conjugate of [tex] \bold{64 \sqrt{5} }[/tex]which is [tex] \bold{ - 64 \sqrt{5} }[/tex]is also root
since [tex] \bold{f(x)}[/tex]is a quadratic this is the only root
[tex] \\[/tex]
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