All the roots of a real function f(x) are real unless.(adsbygoogle = window.adsbygoogle || []).push({});

1.K(x) is a Polynomial of degree k

2.f(x)=exp(g(x)) where g(x) is different from ln of something

3.f(z) with z=u+iv is invariant under the transformation of v=-v with f(u+iv)=F(u-iv)..

4.the function f includes some of the functions above named

In this cases there can be complex roots,excluding this all the roots are real...

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# A conjecture about the roots of real functions

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