Go around in circles to complete a square wheel
The trick here is to spot that the original equation can also be written in modified form as 49 squared - 47 squared = 26 squared - 22 squared. This relationship...
The trick here is to spot that the original equation can also be written in modified form as 492 - 472 = 262 - 222. This relationship will hold true all around the wheel, so we need to find four other subsidiary equations in the form of A2 - B2 = 192.
If we look to the left of the 49, and to the right of the 47, we see that 142 - 22 is the only possibility. Working around the circle in this way, the complete wheel is discovered.
Start the conversation
0 comments