document.write( "Question 95257: $\"%28%28sqrt%287x-9%29%29%5E%281%2F3%29%29%2B%2811%29\"$ =14 \n" ); document.write( "

Algebra.Com's Answer #69391 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28%28sqrt%287x-9%29%29%5E%281%2F3%29%29%2B%2811%29\"$ = 14
\n" ); document.write( ":
\n" ); document.write( "Subtract 11 from both sides:
\n" ); document.write( " $\"%28%28sqrt%287x-9%29%29%5E%281%2F3%29%29%29\"$ = 14 - 11
\n" ); document.write( ":
\n" ); document.write( " $\"%28%28sqrt%287x-9%29%29%5E%281%2F3%29%29%29\"$ = 3
\n" ); document.write( ":
\n" ); document.write( "Cube both sides:
\n" ); document.write( " $\"%28%28sqrt%287x-9%29%29%5E%281%2F3%29%29%5E3%29\"$ = $\"3%5E3\"$
\n" ); document.write( ":
\n" ); document.write( "That gives us;
\n" ); document.write( " $\"sqr%287x-9%29\"$ = 27
\n" ); document.write( ":
\n" ); document.write( "Square both sides and you have:
\n" ); document.write( "7x - 9 = 729
\n" ); document.write( "7x = 729 + 9
\n" ); document.write( "7x = 738
\n" ); document.write( "x = 738/7, a rather nasty fraction, but that is the solution
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check our solution:
\n" ); document.write( "Substitute for x in $\"sqrt%287%28738%2F7%29+-+9%29\"$
\n" ); document.write( " $\"sqrt%28738+-+9%29\"$ = $\"sqrt%28729%29\"$ = 27
\n" ); document.write( "Cube rt of 27 = 3, so we have 3 + 11 = 14 \n" ); document.write( "

\n" );