document.write( "Question 331218: What is the larger root of 1/5x^2=1/3x+2/15 \n" ); document.write( "
Algebra.Com's Answer #237481 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Response to student comment. It is always OK to use the quadratic formula.
\n" ); document.write( "Indeed, there are many, which will not factor. and that is the only way to do it.
\n" ); document.write( "If you can see that it will factor, it saves time and energy to do it that way.
\n" ); document.write( "//
\n" ); document.write( "//\r
\n" ); document.write( "\n" ); document.write( "What is the larger root of
\n" ); document.write( "\"%281%2F5%29x%5E2=%281%2F3%29x%2B%282%2F15%29\"
\n" ); document.write( "multiplying by 15 gets rid of the denominators
\n" ); document.write( "3x^2 = 5x + 2
\n" ); document.write( ":
\n" ); document.write( "3x^2 - 5x - 2 = 0
\n" ); document.write( "Factors
\n" ); document.write( "(3x + 1)(x - 2) = 0
\n" ); document.write( "x = 2 is the larger root
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution in the original equation
\n" ); document.write( "\"%281%2F5%292%5E2=%281%2F3%292%2B%282%2F15%29\"
\n" ); document.write( "\"%284%2F5%29=%282%2F3%29%2B%282%2F15%29\"
\n" ); document.write( "\"%2812%2F15%29=%2810%2F15%29%2B%282%2F15%29\" \n" ); document.write( "
\n" );