document.write( "Question 583590: $\"+x=sqrt%2830x%5E6%2F40x%29\"$ \n" ); document.write( "

Algebra.Com's Answer #372551 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"+x=sqrt%2830x%5E6%2F40x%29\"$
\n" ); document.write( "reduce fraction
\n" ); document.write( " $\"+x=sqrt%283x%5E5%2F4%29\"$
\n" ); document.write( "factor to reveal some perfect squares
\n" ); document.write( " $\"+x=sqrt%28%283x%5E2%2Ax%5E2%2Ax%29%2F4%29\"$
\n" ); document.write( "extract the square root of those square
\n" ); document.write( " $\"+x=%281%2F2%29%2Ax%2Ax%2Asqrt%283x%29\"$ = $\"x%5E2%2F2\"$ * $\"sqrt%283x%29\"$
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( "2x = $\"x%5E2%2Asqrt%283x%29\"$
\n" ); document.write( "divide both sides by x
\n" ); document.write( "2 = $\"x%2Asqrt%283x%29\"$
\n" ); document.write( "square both sides
\n" ); document.write( "4 = x^2(3x)
\n" ); document.write( "4 = 3x^3
\n" ); document.write( "x^3 = $\"4%2F3\"$
\n" ); document.write( "x = $\"3sqrt%284%2F3%29\"$ ; (cube root of 4/3)
\n" ); document.write( "x ~ 1.10064
\n" ); document.write( " \n" ); document.write( "

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