SOLUTION: x+y=11 x*y=11 find x,y??

Question 683326: x+y=11
x*y=11
find x,y??
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x+y=11 --> y = 11-x
x*y=11
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Sub for y in the 2nd eqn
x(11-x) = 11

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=77 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 9.88748219369606, 1.11251780630394. Here's your graph:

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The 2 solutions are for x & y
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