SOLUTION: Find the points of intersection of the graphs of the equations. [Separate your answers with a semicolon (;). ] y2 - 5x2 = 25 y - x = 5 I already found one answer: (0,5) but th

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: Find the points of intersection of the graphs of the equations. [Separate your answers with a semicolon (;). ]
y2 - 5x2 = 25
y - x = 5
I already found one answer: (0,5) but the computer says there is a second answer. any help would be greatly appreciated
This question is from textbook

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
y^2 - 5x^2 = 25
y - x = 5
y=x+5
(x+5)^2-5x^2-25=0
x^2+10x+25-5x^2-25=0
-4x^2+10x=0
-2x(2x-5)=0
x=0, y=5 One answer set
.
2x=5
x=2.5, y=7.5 Second answer set.
.
Ed

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