SOLUTION: Find the value of X and Y from the given equation : sqrt(X)+Y=7 & sqrt(Y)+X=11

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Question 859033: Find the value of X and Y from the given equation : sqrt(X)+Y=7 & sqrt(Y)+X=11
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use a substitution, , , ,
1.
2.
From eq. 1,


Substitute into eq. 2,



Unfortunately the cubic cannot be factored any further.
You need to use numerical methods to find the roots.



and from above

We need to verify that each of these are actual solutions.


and



Verifying,




True, good solution is ,
Next,





Doesn't lead to a valid solution.
Same for the other two possible solutions.
Only one solution.
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