What is the answer to -54=10-(x-10)^{3/2} ?

The answer to -54=10-(x-10)^{3/2} is x=26

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-54=10-(x-10)^{3/2}

- 54 = 10 - (x - 10)^{\frac{3}{2}}

x = 26

Solution steps

- 54 = 10 - (x - 10)^{\frac{3}{2}}

Move

(x - 10)^{\frac{3}{2}}

to the left side

- 54 + (x - 10)^{\frac{3}{2}} = 10

Move

54

to the right side

(x - 10)^{\frac{3}{2}} = 64

Take both sides of the equation to the power of

2 : (x - 10)^{3} = 4096

(x - 10)^{3} = 4096

Solve

(x - 10)^{3} = 4096 : x = 26

x = 26

Verify Solutions:

x = 26

True

The solution is

x = 26

x^{2} - 6 x = 13 x^{2} - 6 x - 36

6 x - 18 x - 8 = 2

x, x = 2 x 81 - x^{2}

x + 2 + x = 2

x = 1 - x

What is the answer to -54=10-(x-10)^{3/2} ?
The answer to -54=10-(x-10)^{3/2} is x=26
Solve for x: -54=10-(x-10)^{3/2}
The solution is x=26