What is the answer to (5x+6)^{3/2}+4=68 ?

The answer to (5x+6)^{3/2}+4=68 is x=2

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(5x+6)^{3/2}+4=68

(5 x + 6)^{\frac{3}{2}} + 4 = 68

x = 2

Solution steps

(5 x + 6)^{\frac{3}{2}} + 4 = 68

Move

4

to the right side

(5 x + 6)^{\frac{3}{2}} = 64

Take both sides of the equation to the power of

2 : (5 x + 6)^{3} = 4096

(5 x + 6)^{3} = 4096

Solve

(5 x + 6)^{3} = 4096 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

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

x - 4 x - 4 = 4

10 x + 49 + 7 = x

0 = x

What is the answer to (5x+6)^{3/2}+4=68 ?
The answer to (5x+6)^{3/2}+4=68 is x=2
Solve for x: (5x+6)^{3/2}+4=68
The solution is x=2