document.write( "Question 672733: Radical equations: solve\r
\n" ); document.write( "\n" ); document.write( "9/(y+3)+2/y = (5y-3)/(y^2-9) \n" ); document.write( "

Algebra.Com's Answer #418297 by radh(108) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the difference of squares formula (a^(2)-b^(2)=(a-b)(a+b)) because both terms are perfect squares.
\n" ); document.write( " $\"9%2F%28y%2B3%29%2B2%2Fy=%285y-3%29%2F%28%28y-3%29%28y%2B3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "

Find the LCD.
\n" ); document.write( " $\"y%28y%2B3%29%28y-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "

Multiply each term in the equation by the LCD in order to remove all the denominators from the equation.
\n" ); document.write( " $\"11y%5E%282%29-27y-18=5y%5E%282%29-3y\"$ \r
\n" ); document.write( "\n" ); document.write( "

Move all terms not containing y to the right-hand side of the equation.
\n" ); document.write( " $\"6y%5E%282%29-24y-18=0\"$ \r
\n" ); document.write( "\n" ); document.write( "

Factor out the GCF (6).
\n" ); document.write( " $\"6%28y%5E%282%29-4y-3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "

Divide.
\n" ); document.write( " $\"%28y%5E%282%29-4y-3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "

Use the quadratic formula to find the solutions.
\n" ); document.write( " $\"y=%28-%28-4%29%5C%28sqrt%28-4%29%29%5E%282%29-4%281%29%28-3%29%29%29%2F%282%281%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "The final answer is the combination of both solutions.
\n" ); document.write( " $\"y=2%2B%28sqrt%287%29%29%2C2-%7E%287%29\"$ \r
\n" ); document.write( "\n" ); document.write( "

Hope this helps! \n" ); document.write( "

\n" );