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One positive integer is 55 less than twice another. The sum of their squares is 185. Find the integers.

 Jan 10, 2022
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okay,

\(x^2+y^2=185\)

\(x+55=2y\)

\((2y-55)^2+y^2=185\)

\(4y-110+y^2=185\)

\(4y+y^2=295\)

\(y^3=\frac{295}{4}\)

wait wait wait, you said x and y were integers....

um.. Melody or Cphil plz help?

 

 

 

ps. 8 and 11 works for the second statement

pps. 13 and 4 also work for the second statement

I'm not sure if this problem is possible since x and y are whold numbers....

 Jan 10, 2022

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