SOLUTION: Solve the following equation: 4(3-x)^(4/3)-5 = 59 Thanks!

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Question 1074846: Solve the following equation:

4(3-x)^(4/3)-5 = 59


Thanks!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
4(3-x)^(4/3)-5 = 59


4%283-x%29%5E%284%2F3%29-5+=+59

4%283-x%29%5E%284%2F3%29=64

%283-x%29%5E%284%2F3%29=16

3-x=%2816%29%5E%283%2F4%29

3-x=%2816%5E%281%2F4%29%29%5E3

3-x=%280%2B-+2%29%5E3

-x=-3%2B-+2%5E3

x=3%2B-+2%5E3

x=3%2B-+8

Either -5 or cross%2811%29



-
x=11 will not work in the original equation. It would means trying to take quarter root of a negative number.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the following equation:

4(3-x)^(4/3)-5 = 59


Thanks!
Only 1 correct answer and it's highlight_green%28-+5%29

Read on to see how that was derived.
matrix%282%2C1%2C+%22%22%2C+4%283+-+x%29%5E%284%2F3%29+-+5+=+59%29
matrix%282%2C1%2C%22%22%2C+4%283+-+x%29%5E%284%2F3%29+=+64%29 ------- Adding 5 to both sides 
matrix%282%2C1%2C%22%22%2C+%283+-+x%29%5E%284%2F3%29+=+16%29 -------- Dividing both sides by 4
 ------ Raising each side to the reciprocal of 4%2F3, or to the %283%2F4%29%5E%28th%29 power
3+-+x+=+2%5E3

- x = 2^3 - 3

- x = 8 - 3

highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+5%2F%28-+1%29%2C+%22=%22%2C+-+5%29%29