document.write( "Question 379117: please help me solve this difficult equation
\n" ); document.write( "
\n" ); document.write( "Y+1=Xsquared+2X\r
\n" ); document.write( "\n" ); document.write( "Y+2X=4 \n" ); document.write( "

Algebra.Com's Answer #269230 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You're solving for the intersection of a line with a parabola.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "1. $\"y%2B1=x%5E2%2B2x\"$
\n" ); document.write( "2. $\"y%2B2x=4\"$
\n" ); document.write( "Subtract eq. 2 from eq. 1,
\n" ); document.write( " $\"y%2B1-y-2x=x%5E2%2B2x-4\"$
\n" ); document.write( " $\"1-2x=x%5E2%2B2x-4\"$
\n" ); document.write( " $\"x%5E2%2B4x-5=0\"$
\n" ); document.write( " $\"%28x%2B5%29%28x-1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x%2B5=0\"$
\n" ); document.write( " $\"x=-5\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"y-10=4\"$
\n" ); document.write( " $\"y=14\"$
\n" ); document.write( "( $\"-5\"$ , $\"14\"$ )
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"y%2B2=4\"$
\n" ); document.write( " $\"y=2\"$
\n" ); document.write( "( $\"1\"$ , $\"2\"$ )
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( "

\n" );