document.write( "Question 577118: Solve x^2-10x+25=0 \n" ); document.write( "
Algebra.Com's Answer #370069 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-10x%2B25=0\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ax%5E2%2Bbx%2Bc\" where \"a=1\", \"b=-10\", and \"c=25\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29\" Start with the quadratic formula\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-10%29+%2B-+sqrt%28+%28-10%29%5E2-4%281%29%2825%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=-10\", and \"c=25\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%28+%28-10%29%5E2-4%281%29%2825%29+%29%29%2F%282%281%29%29\" Negate \"-10\" to get \"10\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%28+100-4%281%29%2825%29+%29%29%2F%282%281%29%29\" Square \"-10\" to get \"100\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%28+100-100+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%2825%29\" to get \"100\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%28+0+%29%29%2F%282%281%29%29\" Subtract \"100\" from \"100\" to get \"0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%28+0+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+0%29%2F%282%29\" Take the square root of \"0\" to get \"0\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B+0%29%2F%282%29\" or \"x+=+%2810+-+0%29%2F%282%29\" Break up the expression. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%29%2F%282%29\" or \"x+=++%2810%29%2F%282%29\" Combine like terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+5\" or \"x+=+5\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the only answer is \"x+=+5\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );