document.write( "Question 449352: i need help on getting the answer for this problem \"5x^2+5=-13x\", help? \n" ); document.write( "
Algebra.Com's Answer #309111 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"5x%5E2%2B5=-13x\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x%5E2%2B13x%2B5=0\" Add 13x to both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"5x%5E2%2B13x%2B5\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=5\", \"B=13\", and \"C=5\"\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-%2813%29+%2B-+sqrt%28+%2813%29%5E2-4%285%29%285%29+%29%29%2F%282%285%29%29\" Plug in \"A=5\", \"B=13\", and \"C=5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+169-4%285%29%285%29+%29%29%2F%282%285%29%29\" Square \"13\" to get \"169\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+169-100+%29%29%2F%282%285%29%29\" Multiply \"4%285%29%285%29\" to get \"100\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+69+%29%29%2F%282%285%29%29\" Subtract \"100\" from \"169\" to get \"69\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+69+%29%29%2F%2810%29\" Multiply \"2\" and \"5\" to get \"10\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13%2Bsqrt%2869%29%29%2F%2810%29\" or \"x+=+%28-13-sqrt%2869%29%29%2F%2810%29\" Break up the expression. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+%28-13%2Bsqrt%2869%29%29%2F%2810%29\" or \"x+=+%28-13-sqrt%2869%29%29%2F%2810%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );