# Find m and n given that x^2-20x+m=(x-n)^2please show each step neatly as i've just learnt this topic and don't really understand it.

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Expert Answers

nathanshields | Certified Educator

Expand the right side:

`x^2-2nx+n^2`

So -2n = -20. This means that n = 10 and m = `n^2` =100.