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

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

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

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

m = 26

Solution steps

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

Move

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

to the left side

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

Move

54

to the right side

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

Take both sides of the equation to the power of

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

(m - 10)^{3} = 4096

Solve

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

m = 26

Verify Solutions:

m = 26

True

The solution is

m = 26

x^{2} + 16 = x

(x + 5)^{\frac{4}{3}} = 16

(x - 2)^{\frac{2}{3}} = 16

x + 10 + 3 = 0

x + 2 - x = - 4

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