What is the answer to (z^2-8z)^{3/2}=27 ?

The answer to (z^2-8z)^{3/2}=27 is z=9,z=-1

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(z^2-8z)^{3/2}=27

(z^{2} - 8 z)^{\frac{3}{2}} = 27

z = 9, z = - 1

Solution steps

(z^{2} - 8 z)^{\frac{3}{2}} = 27

Take both sides of the equation to the power of

2 : (z^{2} - 8 z)^{3} = 729

(z^{2} - 8 z)^{3} = 729

Solve

(z^{2} - 8 z)^{3} = 729 : z = 9, z = - 1

z = 9, z = - 1

Verify Solutions:

z = 9

True

, z = - 1

True

The solutions are

z = 9, z = - 1

4 x + 5 - x = 0

x, x + y = 5 x y

- x + 1 = - x - 1

x + 3 = \frac{1}{2} x + 3

What is the answer to (z^2-8z)^{3/2}=27 ?
The answer to (z^2-8z)^{3/2}=27 is z=9,z=-1
Solve for z: (z^2-8z)^{3/2}=27
The solution is z=9,z=-1