SOLUTION: 3x-4y=25 X^2-y^2=25

Question 815416: 3x-4y=25
X^2-y^2=25
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x-4y=25
X^2-y^2=25
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3x-4y=25
y = (3x-25)/4
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X^2-y^2=25

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=51200 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5.44815499854966, -26.8767264271211. Here's your graph:

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Sub for x in the linear eqn and find y.
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