What is the answer to 3(x-5)^{3/2}-6=18 ?

The answer to 3(x-5)^{3/2}-6=18 is x=9

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3(x-5)^{3/2}-6=18

3 (x - 5)^{\frac{3}{2}} - 6 = 18

x = 9

Solution steps

3 (x - 5)^{\frac{3}{2}} - 6 = 18

Move

6

to the right side

3 (x - 5)^{\frac{3}{2}} = 24

Divide both sides by

3

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

Take both sides of the equation to the power of

2 : (x - 5)^{3} = 64

(x - 5)^{3} = 64

Solve

(x - 5)^{3} = 64 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

y^{\frac{1}{3}} = y - 10

8 w - 7 = w

y + 2 = - \frac{5 y - 90}{9}

81 - t^{2} = 0

5 = 4 x - 7

What is the answer to 3(x-5)^{3/2}-6=18 ?
The answer to 3(x-5)^{3/2}-6=18 is x=9
Solve for x: 3(x-5)^{3/2}-6=18
The solution is x=9