x^3 = 5x
Subtract 5x from both sides:
x^3 - 5x = 0
Factor X out of x^3:
x(x^2-5x) = 0
Set X to 0 and solve for x:
x = 0
Set (X^2-5) to equal 0 and solve for x:
x^2 - 5 = 0
Add 5 to both sides:
x^2 = 5
Take the square root of both sides:
x = √5, -√5
The three solutions of x are 0, √5, -√5
In order from smallest to largest = -√5, 0, √5
The largest possible value is √5