document.write( "Question 363806: x^2/3 - x^1/3 - 20 = 0 \n" ); document.write( "
Algebra.Com's Answer #259451 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! x^2/3 - x^1/3 - 20 = 0\r \n" ); document.write( "\n" ); document.write( "Let y = x^1/3\r \n" ); document.write( "\n" ); document.write( "Substitute x^1/3 = y \r \n" ); document.write( "\n" ); document.write( "y2 - y - 20 = 0\r \n" ); document.write( "\n" ); document.write( "Solve by factoring\r \n" ); document.write( "\n" ); document.write( "(y-5) (y+4) = 0\r \n" ); document.write( "\n" ); document.write( "y-5 = 0\r \n" ); document.write( "\n" ); document.write( "y = 5\r \n" ); document.write( "\n" ); document.write( "Since y = x^1/3 \n" ); document.write( "Then x^1/3 = 5\r \n" ); document.write( "\n" ); document.write( "Raise both sides by exponent 3 to get x\r \n" ); document.write( "\n" ); document.write( " [x^1/3 = 5]^3 \n" ); document.write( " x = 5*5*5 \n" ); document.write( " x = 125 \n" ); document.write( " |