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Find m and n given that x^2-20x+m=(x-n)^2please show each step neatly as i've just...

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if1 | Student, Grade 9 | eNoter

Posted February 3, 2012 at 6:35 PM via web

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Find m and n given that x^2-20x+m=(x-n)^2

please show each step neatly as i've just learnt this topic and don't really understand it.

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nathanshields | High School Teacher | (Level 1) Associate Educator

Posted February 3, 2012 at 7:02 PM (Answer #1)

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Expand the right side:

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

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

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