SOLUTION: solve the system using your choice of method: x^2-y^2-4x+6y-4=0 x^2+y^2-4x-6y+12=0

Question 152174: solve the system using your choice of method:
x^2-y^2-4x+6y-4=0
x^2+y^2-4x-6y+12=0
Answer by kev82(151) (Show Source): You can put this solution on YOUR website!
Adding the equations together looks like it may be a good place to start, where exactly are you stuck? Can you show some working?
-------------------------------------------------
I added them and came up with 2x^2-8x+8=0, this is where I was stuck

This is a quadratic equation. If you are given a problem like the one above, you should really be quite comfortable with this type of equation already, and the techniques of how to solve it. You have no idea?
I don't really like the site solver, but try and follow this. However I suggest you go and see your teacher and cover solving quadratics.

Solved by pluggable solver: SOLVE quadratic equation with variable

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=128 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.82842712474619, -0.82842712474619. Here's your graph:

When you have solved for the possible values of x, you must then find y. Substituting for x should leave you some more quadratic equations to solve to give y, you can use the same technique again.
RELATED QUESTIONS
Help with pre cal substitution questions!! Solve Using Substitution 2x+4=4 (X+1)^2 (answered by ikleyn)

How do I solve the following system of conic sections??? x^2+y^2+2x+2y=0 and... (answered by ewatrrr)

solve the system using your choice of method: 3x^2-2y^2=1... (answered by orca)

Solve the following system by the method of your choice: 5x-y=-11 2x... (answered by jojo14344)

Graph: x^2 - 4x + y^2 + 6y + 4 =... (answered by KMST)

X^2*y^2-4x-6y+12=0 Find the center and... (answered by Fombitz)

Solve the system using the method of your choice. x=6y-4... (answered by scott8148)

Find the center of the circle with equation x^2+y^2-4x+6y+1=0. Show your... (answered by Edwin McCravy)

x^2+y^2-4x+6y+4=0 i need to find the center, and... (answered by tutor_paul)