You may also like
Janusz Asked
In y = ax +b when are a, -b/a, b in arithmetic progression. The polynomial y = ax^2 + bx + c has roots r1 and r2. Can a, r1, b, r2 and c be in arithmetic progression?
Fibonacci Fashion
What have Fibonacci numbers to do with solutions of the quadratic equation x^2 - x - 1 = 0 ?
Agile Algebra
Observe symmetries and engage the power of substitution to solve complicated equations.
Age 16 to 18 Challenge Level:
If \[z_1 z_2 z_3 = 1\] and \[z_1 + z_2 + z_3 = \frac{1}{z_1} + \frac{1}{z_2} +\frac{1}{z_3}\] then show that at least one of these numbers must be 1.
Now for the complexity! When are the other numbers real and when are they complex?
Copyright © 1997 - 2019.
University of Cambridge. All rights
reserved.
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.