Nadja qualified for the follow-on round to the Senior Mathematical Challenge. In the original Senior Challenge, she achieved a Gold Certificate and Best in School Certificate. Entry to the follow-on competition is by invitation only.

Achieving a high score in this challenge requires an excellent level of mathematical ability and engagement with the problems. The top-scoring 25% of participants each receive a Certificate of Merit.

Congratulations to Nadja on receiving your Certificate of Merit!

Here’s a question from this year’s challenge; why not have a go!

 

The real numbers a and b, where a>b, are solutions to the equation

32x – 10 x 3x+1 + 81=0

What is the value of 20a2 + 18b2 ?

Comment below with the answer!