document.write( "Question 176652: Solve/
\n" ); document.write( "x^2=13/2x-13=0\r
\n" ); document.write( "\n" ); document.write( "I have come to the step of -13/2 +and- the square root of 169/4+52 all divided by 2. I have no idea how to solve it from here.
\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #131721 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Is the equation \"x%5E2%2B%2813%2F2%29x-13=0\" ???\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%2813%2F2%29x-13=0\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x%5E2%2B13x-26=0\" Multiply EVERY term by the LCD 2 to clear the fraction.\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=2\", \"b=13\", and \"c=-26\"\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%282%29%28-26%29+%29%29%2F%282%282%29%29\" Plug in \"a=2\", \"b=13\", and \"c=-26\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+169-4%282%29%28-26%29+%29%29%2F%282%282%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--208+%29%29%2F%282%282%29%29\" Multiply \"4%282%29%28-26%29\" to get \"-208\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+169%2B208+%29%29%2F%282%282%29%29\" Rewrite \"sqrt%28169--208%29\" as \"sqrt%28169%2B208%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+377+%29%29%2F%282%282%29%29\" Add \"169\" to \"208\" to get \"377\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13+%2B-+sqrt%28+377+%29%29%2F%284%29\" Multiply \"2\" and \"2\" to get \"4\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-13%2Bsqrt%28377%29%29%2F%284%29\" or \"x+=+%28-13-sqrt%28377%29%29%2F%284%29\" Break up the expression. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+%28-13%2Bsqrt%28377%29%29%2F%284%29\" or \"x+=+%28-13-sqrt%28377%29%29%2F%284%29\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "which approximate to \"x=1.604\" or \"x=-8.104\"
\n" ); document.write( "
\n" ); document.write( "
\n" );