document.write( "Question 182222: y=2x^2-5x-12
\n" ); document.write( "y=0.5x^2-3x+4
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Algebra.Com's Answer #136753 by Fombitz(32388) $\"\"$ $\"About$

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

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