document.write( "Question 1058499: There is a graphic of the function y=2x+1 (line) and a graphic of the function y=x2-2 (parabola). Find out the points of intersection of the two functions. Draw the graphics and show your calculations. \n" ); document.write( "

Algebra.Com's Answer #673557 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"+y+=+2x+%2B+1+\"$
\n" ); document.write( "(2) $\"+y+=+x%5E2+-+2+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+y+=+x%5E2+-+2+\"$
\n" ); document.write( "(1) $\"+-y+=+-2x+-+1+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+0+=+x%5E2+-+2x+-+3+\"$
\n" ); document.write( " $\"+%28+x+-+3+%29%2A%28+x+%2B+1+%29+=+0+\"$ ( by inspection )
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+x+=+3+\"$ and $\"+x+=+-1+\"$
\n" ); document.write( "are the solutions
\n" ); document.write( "--------------------------
\n" ); document.write( "Plug both solutions into either (1) or (2)
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "(1) $\"+y+=+2%2A3+%2B+1+\"$
\n" ); document.write( "(1) $\"+y+=+7+\"$
\n" ); document.write( "One intersection is ( 3, 7 )
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+x+=+-1+\"$
\n" ); document.write( "(1) $\"+y+=+2%2A%28-1%29+%2B+1+\"$
\n" ); document.write( "(1) $\"+y+=+-1+\"$
\n" ); document.write( "2nd intersection is ( -1, -1 )
\n" ); document.write( "-----------------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+10%2C+2x+%2B+1%2C+x%5E2+-+2+%29+\"$
\n" ); document.write( "My solutions look OK \n" ); document.write( "

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