What is the answer to (x-5)^{2/3}=8 ?

The answer to (x-5)^{2/3}=8 is x=16*2^{1/2}+5,x=-16*2^{1/2}+5

Solve for x: (x-5)^{2/3}=8

The solution is x=16*2^{1/2}+5,x=-16*2^{1/2}+5

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(x - 5)^{\frac{2}{3}} = 8

x = 16 \cdot 2^{\frac{1}{2}} + 5, x = - 16 \cdot 2^{\frac{1}{2}} + 5

Decimal Notation

x = 27.62741 \dots, x = - 17.62741 \dots

Solution steps

(x - 5)^{\frac{2}{3}} = 8

Take both sides of the equation to the power of

3 : (x - 5)^{2} = 512

(x - 5)^{2} = 512

Solve

(x - 5)^{2} = 512 : x = 16 \cdot 2^{\frac{1}{2}} + 5, x = - 16 \cdot 2^{\frac{1}{2}} + 5

x = 16 \cdot 2^{\frac{1}{2}} + 5, x = - 16 \cdot 2^{\frac{1}{2}} + 5

Verify Solutions:

x = 16 \cdot 2^{\frac{1}{2}} + 5

True

, x = - 16 \cdot 2^{\frac{1}{2}} + 5

True

The solutions are

x = 16 \cdot 2^{\frac{1}{2}} + 5, x = - 16 \cdot 2^{\frac{1}{2}} + 5

6 x = 3

20 - n = \frac{n}{4}

x^{2} + 1 = 4

x^{2} + 1 = 5

x^{2} + 1 = 2

What is the answer to (x-5)^{2/3}=8 ?
The answer to (x-5)^{2/3}=8 is x=16*2^{1/2}+5,x=-16*2^{1/2}+5
Solve for x: (x-5)^{2/3}=8
The solution is x=16*2^{1/2}+5,x=-16*2^{1/2}+5