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Why x^4+3x^2+2sqrt2 does not intersect at the x axis?

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The expression has a positive constant while the terms dependent on x are functions of \(x^2\), so they are non-negative, thus the entire expression is always positive as a function of x.

Edited by mathematic
typo + latex

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27 minutes ago, mathematic said:

The expression has a positive constant while the terms dependent on x are functions of x2 , so they are non-negative, thus the entire expression is always positive as a function of x.

Thank, mathematic.

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