SOLUTION TO LAST MONTH'S QUIZ
1. 15,21 (or 87,123, or etc....)
2. 20,28 (or 116,164 or etc....)
3. 25,35 (or 145,205 or etc....)
Notes.
b^{2} = (a^{2} + c^{2})/2
Easily solved with pocket calculator.
The quickest way is probably to use:
c^{2} = 2b^{2}  a^{2}
e.g. For Q.1, take b = 4, 5, 6..... and test
x = 2b^{2}  9 until x is a perfect square.
