SOLUTION: X²+y²=2 X-y=4

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Question 1205143: X²+y²=2
X-y=4
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
X²+y²=2
X-y=4
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X-y=4 ---> y = x-4



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 : .

The discriminant -12 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -12 is + or - .

The solution is , or
Here's your graph:

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