document.write( "Question 1004483: Hello,I'm a 9th grade student and I'm stuck at one question.Please help me solve this:-
\n" ); document.write( "Sqrt(x/1-x)+Sqrt(1-x/x)=13/6
\n" ); document.write( "Where (x is not equal to 0,1)
\n" ); document.write( "

Algebra.Com's Answer #620970 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "solve
\n" ); document.write( "Sqrt(x/1-x)+Sqrt(1-x/x)=13/6
\n" ); document.write( "where (x is not equal to 0,1)
\n" ); document.write( "--------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Introduce new variable  y = \"sqrt%28x%2F%281-x%29%29\".
\n" ); document.write( "Notice that  \"1%2Fy\" = \"sqrt%28%281-x%29%2Fx%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then your equation takes the form\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y\" + \"1%2Fy\" = \"13%2F6\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To solve it,  multiply both sides by 6y.  You will have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6y%5E2\" + \"6\" = \"13y\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Simplify:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6y%5E2\" - \"13y\" + \"6\" = \"0\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Apply quadratic formula.  You will get the roots  \"y%5B1%5D\" = \"3%2F2\"  and  \"y%5B2%5D\" = \"2%2F3\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now you need to solve two equations to determine x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First equation is  \"sqrt%28x%2F%281-x%29%29\" = \"3%2F2\".
\n" ); document.write( "To solve it,  square first both sides.  Then . . .  (. . . as you are 9th grade,  you should know what do next . . . ).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The second equation is  \"sqrt%28x%2F%281-x%29%29\" = \"2%2F3\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Please complete the solution yourself. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Good luck!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );