Solve for z (z-1)^4=81

Math
(z-1)4=81
Take the 4th root of each side of the equation to set up the solution for z
(z-1)4⋅14=±814
Remove the perfect root factor z-1 under the radical to solve for z.
z-1=±814
Simplify the right side of the equation.
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Rewrite 81 as 34.
z-1=±344
Pull terms out from under the radical, assuming positive real numbers.
z-1=±3
z-1=±3
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
z-1=3
Move all terms not containing z to the right side of the equation.
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Add 1 to both sides of the equation.
z=3+1
Add 3 and 1.
z=4
z=4
Next, use the negative value of the ± to find the second solution.
z-1=-3
Move all terms not containing z to the right side of the equation.
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Add 1 to both sides of the equation.
z=-3+1
Add -3 and 1.
z=-2
z=-2
The complete solution is the result of both the positive and negative portions of the solution.
z=4,-2
z=4,-2
Solve for z (z-1)^4=81

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