SOLUTION: solve the given two equation and find the value of m and n m+n^2=7 and m^2+n=11

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Question 897834: solve the given two equation and find the value of m and n
m+n^2=7 and m^2+n=11
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is the intersection of two parabolas.
There are four solutions but only one of them is an integer solution.
m%2Bn%5E2=7
+m%5E2%2Bn=11
From eq. 1,
m=7-n%5E2
m%5E2=49-14n%5E2%2Bn%5E4
Substituting,
n%5E4-14n%5E2%2B49%2Bn=11
n%5E4-14n%5E2%2Bn%2B38=0
%28n-2%29%28n%5E3%2B2n%5E2-10n-19%29=0
One integer solution:
n-2=0
n=2
Then,
m%2B2%5E2=7
m%2B4=7
m=3
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