- #1
richyw
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Homework Statement
Show that the inequality[tex]\left|\frac{z^2-2z+4}{3x+10}\right|\leq3[/tex]holds for all [itex] z\in\mathbb{C}[/itex] such that [itex]|z|=2[/itex]
Homework Equations
Triangle inequality
The Attempt at a Solution
I'm not really sure how to go about this. the x is throwing me off. Should I write it out with [itex]z=x+iy[/itex]?