What is the answer to (6x+4)^{3/2}+8=520 ?

The answer to (6x+4)^{3/2}+8=520 is x=10

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(6x+4)^{3/2}+8=520

(6 x + 4)^{\frac{3}{2}} + 8 = 520

x = 10

Solution steps

(6 x + 4)^{\frac{3}{2}} + 8 = 520

Move

8

to the right side

(6 x + 4)^{\frac{3}{2}} = 512

Take both sides of the equation to the power of

2 : (6 x + 4)^{3} = 262144

(6 x + 4)^{3} = 262144

Solve

(6 x + 4)^{3} = 262144 : x = 10

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

x + 9 = 8

68 - 4 r = r - 2

x + 3 = 11

3 = - x - 3 + 5

24 + 2 x = x

What is the answer to (6x+4)^{3/2}+8=520 ?
The answer to (6x+4)^{3/2}+8=520 is x=10
Solve for x: (6x+4)^{3/2}+8=520
The solution is x=10