olymmath

HMMT November 2018 U20

  • Guts
  • Answer

Let zz be a complex number. In the complex plane, the distance from zz to 1 is 2 , and the distance from z2z^{2} to 1 is 6 . What is the real part of zz ?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{5}{4}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2018/u20 · Tag MF5DBHZ621 · Edit this page on GitHub · Keys: j next, k previous