Question 265280: What is the intersection of the quadratic equations -x^2+1 and x^2-2x-3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the intersection of the quadratic equations -x^2+1 and x^2-2x-3
When they intersect they must be equal:
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Equation:
-x^2+1 = x^2-2x-3
2x^2 - 2x -4 = 0
x^2 -x - 2 = 0
Factor:
(x-2)(x+1) = 0
x = 2 or x = -1
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If x = 2, y = -(2^2)+1 = -3
If x = -1, y = -(-1)^2 + 1 = 2
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Solution: (2,-3) and (-1,2)
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Cheers,
Stan H.
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