document.write( "Question 924709: Determine algebraically the solution set to the following quadratic-quadratic system of equations.
\n" ); document.write( "Y=-2x^2-3x+3
\n" ); document.write( "Y=-x^2-x+7/4 \n" ); document.write( "

Algebra.Com's Answer #561079 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Set them equal to each other and solve for $\"x\"$ .
\n" ); document.write( " $\"-2x%5E2-3x%2B3=-x%5E2-x%2B7%2F4\"$
\n" ); document.write( " $\"-x%5E2-2x%2B5%2F4=0\"$
\n" ); document.write( " $\"4x%5E2%2B8x-5=0\"$
\n" ); document.write( " $\"%282x-1%29%282x%2B5%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"2x-1=0\"$
\n" ); document.write( " $\"2x=1\"$
\n" ); document.write( " $\"x=1%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2x%2B5=0\"$
\n" ); document.write( " $\"2x=-5\"$
\n" ); document.write( " $\"x=-5%2F2\"$
\n" ); document.write( "Now that you have the x-coordinates, plug into either equation to find the matching y-coordinates.
\n" ); document.write( " \n" ); document.write( "

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