document.write( "Question 678465: (x-4)^(2)+(y-5)^(2)=8
\n" ); document.write( "(x+1)^(2)+(Y+2)^(2)=34\r
\n" ); document.write( "\n" ); document.write( "Please help me to solve this system of equations
\n" ); document.write( "

Algebra.Com's Answer #421427 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28x-4%29%5E2%2B%28y-5%29%5E2=8\"...........1\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2%2B%28y%2B2%29%5E2=34\"..........2
\n" ); document.write( "____________________________________\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2-8x%2B16%2By%5E2-10y%2B25=8\"...........1\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2-8x-10y%2B41=8\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2-8x-10y=-33\"..............1a\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B2x%2B1%29%2B%28y%5E2%2B4y%2B4%29=34\"..........2\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2%2B2x%2B4y%2B5=34\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2%2B2x%2B4y=29\"............2a\r
\n" ); document.write( "\n" ); document.write( "_________________________________\r
\n" ); document.write( "\n" ); document.write( "take 1a and 2a and subtract\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2-8x-10y=-33\"..............1a\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2%2B2x%2B4y=29\"............2a
\n" ); document.write( "_________________________________________\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2-x%5E2%2By%5E2-y%5E2-8x-2x-10y-4y=-33-29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-10x-14y=-62\"......both sides multiply by \"-1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10x%2B14y=62\"........solve for \"x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10x=-14y%2B62\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-14y%2F10%2B62%2F10\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-1.4y%2B6.2\".......plug in 1a\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28-1.4y%2B6.2%29%5E2%2By%5E2-8%28-1.4y%2B6.2%29-10y=-33\".......1a..solve for \"y\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1.96y%5E2-17.36y%2B38.44%2By%5E2%2B11.2y-49.6-10y=-33\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2.96y%5E2-16.16y-11.16=-33\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2.96y%5E2-16.16y%2B21.84=0\"....use quadratic formula\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=+%2816.16+%2B-+sqrt%28261.1456-258.586+%29%29%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=+%2816.16+%2B-+sqrt%282.5596+%29%29%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=+%2816.16+%2B-+1.59987%29%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=+%2816.16+%2B+1.59987%29%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=17.75987%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28y+=2.99998%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=+%2816.16+-+1.59987%29%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y+=14.56013%2F5.92+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28y+=2.45948%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "now find \"x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-1.4y%2B6.2\"......plug in \"y+=2.99998+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-1.4%2A2.99998%2B6.2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=2.000028%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-1.4y%2B6.2\"......plug in \"y+=2.45948+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-1.4%2A2.45948%2B6.2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=2.756728%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );