Question

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Answer 1

Answer:

x=-4

Step-by-step explanation:

(x+4) ^ (1/3) + (2x+8) ^ (1/3) = 0

Subtract (x+4) ^ (1/3) from each side

(x+4) ^ (1/3) - (x+4) ^ (1/3)+ (2x+8) ^ (1/3) = -(x+4) ^ (1/3)

(2x+8) ^ (1/3) = -(x+4) ^ (1/3)

Cube each side

(2x+8) ^ (1/3) ^3= -(x+4) ^ (1/3)^3

2x+8 = -(x+4)

Distribute the negative sign

2x+8 = -x -4

Add x to each side

2x+8 +x =-x+x-4

3x+8 = -4

Subtract 8 from each side

3x+8-8 =-4-8

3x =-12

Divide by 3

3x/3 = -12/3

x = -4

Answer 2

Answer:

x=-4

Step-by-step explanation: