document.write( "Question 264901: Need Help!!
\n" ); document.write( "Find the point(s) of intersection of the parabola y=x^2+4x+3 and the line
\n" ); document.write( "y=x+1. \n" ); document.write( "
Algebra.Com's Answer #194911 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Subtract the 2nd equation from the 1st
\n" ); document.write( "\"y+=+x%5E2+%2B+4x+%2B+3\"
\n" ); document.write( "\"-y+=+-x+-+1\"
\n" ); document.write( "\"0+=+x%5E2+%2B+3x+%2B+2\"
\n" ); document.write( "Use the quadratic formula to find roots
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+1\"
\n" ); document.write( "\"b+=+3\"
\n" ); document.write( "\"c+=+2\"
\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A2+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9+-+8+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%28-3%2B1%29%2F2\"
\n" ); document.write( "\"x+=+-1\"
\n" ); document.write( "and
\n" ); document.write( "\"x+=+%28-3-1%29%2F2\"
\n" ); document.write( "\"x+=+-2\"
\n" ); document.write( "The points I have so far are
\n" ); document.write( "(-1,?) and (-2,?)
\n" ); document.write( "To find y-components, plug x's back into original equatiuon
\n" ); document.write( "\"y+=+x%5E2+%2B+4x+%2B+3\"
\n" ); document.write( "\"y+=+%28-1%29%5E2+%2B+4%2A%28-1%29+%2B+3\"
\n" ); document.write( "\"y+=+1+-+4+%2B+3\"
\n" ); document.write( "\"y+=+0\"
\n" ); document.write( "I have point (-1,0) now
\n" ); document.write( "and
\n" ); document.write( "\"y+=+x%5E2+%2B+4x+%2B+3\"
\n" ); document.write( "\"y+=+%28-2%29%5E2+%2B+4%2A%28-2%29+%2B+3\"
\n" ); document.write( "\"y+=+4+-+8+%2B+3\"
\n" ); document.write( "\"y+=+-1\"
\n" ); document.write( "The other point is (-2,-1)
\n" ); document.write( "I'll plot them to check answers
\n" ); document.write( "\"+graph%28+500%2C+500%2C+-6%2C+6%2C+-6%2C+6%2C+x%5E2+%2B+4x+%2B+3%2Cx+%2B+1%29+\" \n" ); document.write( "
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