Question 71566
2 = (x/100-x)^3
:
Do you mean:
{{{((x/100)-x)^3}}} = 2
:
or do you mean:
{{{(x/(100-x))^3}}} = 2
:
Assume it is the 2nd one: find the cube root of both sides; (Cube root = ^1/3):
:
{{{x/(100-x) = 2^(1/3)}}}
:
{{{x = 2^(1/3)(100-x))}}}; multiplied both sides by(100-x):
:
{{{x = (100*2^(1/3)) - (x*2^(1/3))}}}
:
{{{x + x*2^(1/3) = 100* 2^(1/3)}}}
:
{{{x(1 + 2^(1/3)) = 100* 2^(1/3)}}}: factor out x
:
{{{x = (100*2^(1/3))/(1+2^(1/3))}}}: divide both sides by {{{1+2^(1/3)}}}