What is the answer to (x+3)^{2/3}=8 ?

The answer to (x+3)^{2/3}=8 is x=16*2^{1/2}-3,x=-16*2^{1/2}-3

Solve for x: (x+3)^{2/3}=8

The solution is x=16*2^{1/2}-3,x=-16*2^{1/2}-3

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(x + 3)^{\frac{2}{3}} = 8

x = 16 \cdot 2^{\frac{1}{2}} - 3, x = - 16 \cdot 2^{\frac{1}{2}} - 3

Decimal Notation

x = 19.62741 \dots, x = - 25.62741 \dots

Solution steps

(x + 3)^{\frac{2}{3}} = 8

Take both sides of the equation to the power of

3 : (x + 3)^{2} = 512

(x + 3)^{2} = 512

Solve

(x + 3)^{2} = 512 : x = 16 \cdot 2^{\frac{1}{2}} - 3, x = - 16 \cdot 2^{\frac{1}{2}} - 3

x = 16 \cdot 2^{\frac{1}{2}} - 3, x = - 16 \cdot 2^{\frac{1}{2}} - 3

Verify Solutions:

x = 16 \cdot 2^{\frac{1}{2}} - 3

True

, x = - 16 \cdot 2^{\frac{1}{2}} - 3

True

The solutions are

x = 16 \cdot 2^{\frac{1}{2}} - 3, x = - 16 \cdot 2^{\frac{1}{2}} - 3

x - x^{\frac{1}{2}} - 12 = 0

2 x + 1 = 3 x - 5

2 x + 46 = x + 5

y - 2 + 2 = 2 y + 3

x = 3 2 x - 9

What is the answer to (x+3)^{2/3}=8 ?
The answer to (x+3)^{2/3}=8 is x=16*2^{1/2}-3,x=-16*2^{1/2}-3
Solve for x: (x+3)^{2/3}=8
The solution is x=16*2^{1/2}-3,x=-16*2^{1/2}-3