What is the answer to (5z-1)^{1/4}-4=-2 ?

The answer to (5z-1)^{1/4}-4=-2 is z= 17/5

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(5z-1)^{1/4}-4=-2

(5 z - 1)^{\frac{1}{4}} - 4 = - 2

z = \frac{17}{5}

Decimal Notation

z = 3.4

Solution steps

(5 z - 1)^{\frac{1}{4}} - 4 = - 2

Move

4

to the right side

(5 z - 1)^{\frac{1}{4}} = 2

Take both sides of the equation to the power of

4 : 5 z - 1 = 16

5 z - 1 = 16

Solve

5 z - 1 = 16 : z = \frac{17}{5}

z = \frac{17}{5}

Verify Solutions:

z = \frac{17}{5}

True

The solution is

z = \frac{17}{5}

x^{1.15} = 1.02678 x^{1.4}

2 x - 3 - 1 = x

4 = \frac{x}{2 x - 2}

1 + x - 1 = 0.05

x^{2} - x + 1 = 1

What is the answer to (5z-1)^{1/4}-4=-2 ?
The answer to (5z-1)^{1/4}-4=-2 is z= 17/5
Solve for z: (5z-1)^{1/4}-4=-2
The solution is z= 17/5