SOLUTION: Find where two parabolas y= -2(x-3)^2 + 4 and y=2(x-2)^2 -1 intersect each other. I keep coming up with another quadratic equation instead of a point! I also tried sketching bot

Question 320390: Find where two parabolas y= -2(x-3)^2 + 4 and y=2(x-2)^2 -1 intersect each other.
I keep coming up with another quadratic equation instead of a point! I also tried sketching both parabolas, but the exact point of intersection is difficult to verify.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You're getting a quadratic equation because they intersect at two points.
If they only intersected at one point, you would get a linear equation.
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Factor

Two solutions:

Then use either equation to find y.

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Again, find y,

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(7/2,7/2) and (3/2,-1/2)

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