SOLUTION: Hello, I am having a hard time trying to solve this system of eqaution. I hope you can help me. X² - y = -2 X - y = 2 Thank you Fabiana

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Question 181505: Hello,
I am having a hard time trying to solve this system of eqaution. I hope you can help me.
X² - y = -2
X - y = 2
Thank you
Fabiana

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I am having a hard time trying to solve this system of eqaution. I hope you can help me.
X² - y = -2
X - y = 2
-----------
x - y = 2 --> y = x-2
Sub into the 1st eqn


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 -15 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 -15 is + or - .

The solution is , or
Here's your graph:

--------------
Then solve for y, y = x-2


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