Solve for x : x^3 = 243

We'll solve the equation using the difference of cubes
formula:

a^3 - b^3 = (a-b)(a^2 + ab +
b^2)

We'll write 243 =
9*3^3

x^3 - 9*3^3 = {x - 3*[3^(2/3)]}(x^2 + 3x*[3^(2/3)] +
27[3^(1/3)])

x - 3*[3^(2/3)] =
0

The real solution of the equation is: x =
3*[3^(2/3)]