2)
Solve for x:
4(3 - x)^4/3 - 5 = 59 add 5 to both sides
4(3 - x)^4/3 = 64 divide both sides by 4
(3 - x)^4/3 = 16 raise both sides to 3rd power
(x - 3)^4 = 4096
Taking 4^th roots gives 8 times the 4^th roots of unity:
x - 3 = -8 or x - 3 = -8 i or x - 3 = 8 i or x - 3 = 8
Add 3 to both sides:
x = -5 or x - 3 = -8 i or x - 3 = 8 i or x - 3 = 8
Add 3 to both sides:
x = -5 or x = 3 - 8 i or x - 3 = 8 i or x - 3 = 8
Add 3 to both sides:
x = -5 or x = 3 - 8 i or x = 3 + 8 i or x - 3 = 8
Add 3 to both sides:
x = -5 or x = 3 - 8 i or x = 3 + 8 i or x = 11 - Discard the imaginary solutions:
x = -5 and x = 11
