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'Weekly Challenge 2: Quad Solve' printed from http://nrich.maths.org/

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To do this problem you will need to know that $a^0 = 1$ when $a\neq 0$ and $1^b=1$ for any $b$ along with other power manipulations which are needed from the beginning of C1.
 
Note that $0^0$ is not defined as a number.
 
You will also need to know the formula for the solution of a quadratic equation.
 
If you are studying complex numbers then you can also bring those ideas into the problem if desired.