- Problem
- Getting Started
- Student Solutions

Show that x = 1 is a solution of the equation x^(3/2) - 8x^(-3/2) = 7 and find all other solutions.

This problem in geometry has been solved in no less than EIGHT ways by a pair of students. How would you solve it? How many of their solutions can you follow? How are they the same or different? Which do you like best?

A short introduction to complex numbers written primarily for students aged 14 to 19.

Challenge Level

The hint is in the title here!

If $z_1z_2z_3=1$ what can you say about ${1\over z_1} + {1\over z_2} + {1\over z_3}$?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.

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NRICH is part of the family of activities in the Millennium Mathematics Project.

NRICH is part of the family of activities in the Millennium Mathematics Project.