SOLUTION: x + root Y = 11, root x + y = 7 Find the value of x & y.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: x + root Y = 11, root x + y = 7 Find the value of x & y.      Log On


   

Question 985321: x + root Y = 11,
root x + y = 7
Find the value of x & y.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x + root Y = 11,
root x + y = 7
Find the value of x & y.
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Assuming you mean square root:
sqrt%28x%29+%2B+y+=+7
sqrt%28x%29+=+7+-+y
x+=+y%5E2+-+14y+%2B+49
Sub for x in the 1st eqn.
y%5E2+-+14y+%2B+49+%2B+sqrt%28y%29+=+11
y%5E2+-+14y+%2B+38+=+-sqrt%28y%29
y%5E4+-+28y%5E3+%2B+272y%5E2+-+1065y+%2B+1444+=+0
By graphical methods:
y = 4 is the only integer --> x = 9
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There are 3 other values that can be found by various methods.
Is 1 sufficient?