document.write( "Question 1089503: 5x^6 – 8x^3 = 4 \n" ); document.write( "
Algebra.Com's Answer #703833 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Introduce new variable y = x^3. Then your equation takes the form\r\n" );
document.write( "\r\n" );
document.write( "5y^2 - 8y = 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "5y^2 - 8y - 4 = 0,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"y%5B1%2C2%5D\" = \"%288+%2B-+sqrt%288%5E2+-4%2A5%2A%28-4%29%29%29%2F%282%2A5%29\" = \"%288+%2B-+sqrt%28144%29%29%2F10\" = \"%288+%2B-+12%29%2F10\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "1.  \"y%5B1%5D\" = \"%288%2B12%29%2F10\" = 2  ====>  x^3 = 2  ====>  x = \"root%283%2C2%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  \"y%5B2%5D\" = \"%288-12%29%2F10\" = \"-0.4\"  ====>   x^3 = -0.4  ====>  x = \"-root%283%2C0.4%29\".\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );