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OpenStudy (anonymous):
Show that the equation x^5-3x^3=x+1 has a real root
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OpenStudy (anonymous):
\[ x^5-3x^3=x+1 \\ x^5-3x^3-x-1=0\] polynomial is of odd degree goes from \(-\infty\) to \(\infty\) and is continuous, so takes on all values, including 0
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