What is the answer to (4x-1)^{3/2}-2=18 ?

The answer to (4x-1)^{3/2}-2=18 is x=(2*50^{1/3}+1)/4

Solve for x: (4x-1)^{3/2}-2=18

The solution is x=(2*50^{1/3}+1)/4

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(4 x - 1)^{\frac{3}{2}} - 2 = 18

x = \frac{2 \cdot 5 0 ^{\frac{1}{3}} + 1}{4}

Decimal Notation

x = 2.09201 \dots

Solution steps

(4 x - 1)^{\frac{3}{2}} - 2 = 18

Move

2

to the right side

(4 x - 1)^{\frac{3}{2}} = 20

Take both sides of the equation to the power of

2 : (4 x - 1)^{3} = 400

(4 x - 1)^{3} = 400

Solve

(4 x - 1)^{3} = 400 : x = \frac{2 \cdot 5 0 ^{\frac{1}{3}} + 1}{4}

x = \frac{2 \cdot 5 0 ^{\frac{1}{3}} + 1}{4}

Verify Solutions:

x = \frac{2 \cdot 5 0 ^{\frac{1}{3}} + 1}{4}

True

The solution is

x = \frac{2 \cdot 5 0 ^{\frac{1}{3}} + 1}{4}

3 2 x - 1 = 3 x

2 x - 14 = x + 1

x + 2 - x - 1 = 1

2 x + 1 + 3 = 0

4 - x^{2} = - x

What is the answer to (4x-1)^{3/2}-2=18 ?
The answer to (4x-1)^{3/2}-2=18 is x=(2*50^{1/3}+1)/4
Solve for x: (4x-1)^{3/2}-2=18
The solution is x=(2*50^{1/3}+1)/4