What is the answer to (2x+3)^{3/2}+3=30 ?

The answer to (2x+3)^{3/2}+3=30 is x=3

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(2x+3)^{3/2}+3=30

(2 x + 3)^{\frac{3}{2}} + 3 = 30

x = 3

Solution steps

(2 x + 3)^{\frac{3}{2}} + 3 = 30

Move

3

to the right side

(2 x + 3)^{\frac{3}{2}} = 27

Take both sides of the equation to the power of

2 : (2 x + 3)^{3} = 729

(2 x + 3)^{3} = 729

Solve

(2 x + 3)^{3} = 729 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

0 = 2 x + 1

x - 8 = 7

x - 8 = 8

x - 8 = 3

What is the answer to (2x+3)^{3/2}+3=30 ?
The answer to (2x+3)^{3/2}+3=30 is x=3
Solve for x: (2x+3)^{3/2}+3=30
The solution is x=3