Asked by Jake

Find the positive difference between two solutions to the equation
∛(4-(x^2/3)) = -2
Answered by Reiny
cube both sides
4 - x^(2/3) = -8
-x^(2/3) = -12
(x^2)^(1/3) = 12

x^2 = 1728
x = ± √1728 = ±24√3

so the difference between the two roots is 48√3