Thread: prove problem

please help me with this prove problem

z1/z2+z3 <= |z1|/||z2|-|z3|| ; |z2|<>|z3|, z=x+iy

thanks.

Originally Posted by unicorn

please help me with this prove problem

z1/z2+z3 <= |z1|/||z2|-|z3|| ; |z2|<>|z3|, z=x+iy

thanks.

There is an impossibility in your problem.
The right hand side is a real number because of absolute value ffor complex numbers, but the left hand remains a complex number. How can a complex number be ordered?

excuse me! the problem is:
|z1/z2+z3| <= |z1|/||z2|-|z3|| ; |z2|<>|z3|, z=x+iy

Originally Posted by unicorn

excuse me! the problem is:
|z1/z2+z3| <= |z1|/||z2|-|z3|| ; |z2|<>|z3|, z=x+iy

If you mean:

Prove that :

?

Then it is sufficient to prove that:



RonL

maybe it's silly, but how can I prove that