SOLUTION: {{{ x=sqrt(30x^6/40x)}}}

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Question 583590: +x=sqrt%2830x%5E6%2F40x%29
Answer by ankor@dixie-net.com(15652) About Me  (Show Source):
You can put this solution on YOUR website!
+x=sqrt%2830x%5E6%2F40x%29
reduce fraction
+x=sqrt%283x%5E5%2F4%29
factor to reveal some perfect squares
+x=sqrt%28%283x%5E2%2Ax%5E2%2Ax%29%2F4%29
extract the square root of those square
+x=%281%2F2%29%2Ax%2Ax%2Asqrt%283x%29 = x%5E2%2F2 * sqrt%283x%29
multiply both sides by 2
2x = x%5E2%2Asqrt%283x%29
divide both sides by x
2 = x%2Asqrt%283x%29
square both sides
4 = x^2(3x)
4 = 3x^3
x^3 = 4%2F3
x = 3sqrt%284%2F3%29; (cube root of 4/3)
x ~ 1.10064