SOLUTION: (w+1)^4=48

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Question 316927: (w+1)^4=48
Found 2 solutions by tinbar, Fombitz:
Answer by tinbar(133) About Me  (Show Source):
You can put this solution on YOUR website!
(w+1)^4 = 48
(w+1) = 48^(1/4) take the fourth root to undo the power of 4 on the left side
(w+1) ~ 2.632148
w ~ 1.632148 <- approximation
w = (48^(1/4))-1 <- exact value

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let u=%28w%2B1%29%5E2,
%28w%2B1%29%5E4=48
u%5E2=48
u=0+%2B-+sqrt%2848%29
u=0+%2B-+4%2Asqrt%283%29
%28w%2B1%29%5E2=0+%2B-+4%2Asqrt%283%29
Positive solution:
%28w%2B1%29%5E2=4%2Asqrt%283%29
w%2B1=0+%2B-+2%2Aroot%284%2C3%29
+highlight%28w=-1+%2B-+2%2Aroot%284%2C3%29%29
Negative solution:
%28w%2B1%29%5E2=-4%2Asqrt%283%29
w%2B1=0+%2B-+2%2Aroot%284%2C3%29i
+highlight%28w=-1+%2B-+2%2Aroot%284%2C3%29i%29