document.write( "Question 779264: My teacher says there is a smaller x-value and a larger x-value for this problem. However, the only x-value I come up with is 1, the larger x-value. How can there be two x-values? (x+7)^(4/3)=16 \n" ); document.write( "
Algebra.Com's Answer #475272 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! (x+7)^(4/3) = 16 \n" ); document.write( "Cube both sides and you have \n" ); document.write( "(x+7)^4 = 4096 \n" ); document.write( "Find the 4th root of both sides \n" ); document.write( "x + 7 = +/- \n" ); document.write( "Two solutions \n" ); document.write( "x + 7 = +8 \n" ); document.write( "x = 1 \n" ); document.write( "and \n" ); document.write( "x - 7 = -8 \n" ); document.write( "x = -8 - 7 \n" ); document.write( "x = -15 is the 2nd solution \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check this in your calc: enter (-15+7)^(3/4) results is 16 \n" ); document.write( " |