SOLUTION: y=2x^2-5x-12 y=0.5x^2-3x+4

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Question 182222: y=2x^2-5x-12
y=0.5x^2-3x+4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To find the intersection of the two curves, set them equal to eacgh other.
2x%5E2-5x-12=0.5x%5E2-3x%2B4
1.5x%5E2-2x-16=0
3x%5E2-4x-32=0
You can factor this quadratic,
%283x%2B8%29%28x-4%29=0
First solution:
3x-8=0
x=-8/3
Second solution:
x-4=0
x=4
Use either equation to find corresponding y values.
y%28-8%2F3%29=2%28-8%2F3%29%5E2-5%28-8%2F3%29-12=2%2864%2F9%29%2B40%2F3-12
y%28-8%2F3%29=%28128%2F9%29%2B%28120%2F9%29-%28108%2F9%29=%28128%2B120-108%29%2F9=140%2F9
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y%284%29=2%284%29%5E2-5%284%29-12=2%2816%29-20-12=32-32=0
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Intersection points : (-8/3,140/9) and (4,0)
+graph%28+300%2C+300%2C+-8%2C+8%2C+-2%2C+18%2C+2x%5E2-5x-12%2C+0.5x%5E2-3x%2B4%29+