What is the answer to (3x+1)^{2/3}-15=5 ?

The answer to (3x+1)^{2/3}-15=5 is x=(40*5^{1/2}-1)/3 ,x=(-40*5^{1/2}-1)/3

Solve for x: (3x+1)^{2/3}-15=5

The solution is x=(40*5^{1/2}-1)/3 ,x=(-40*5^{1/2}-1)/3

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(3 x + 1)^{\frac{2}{3}} - 15 = 5

x = \frac{40 \cdot 5 ^{\frac{1}{2}} - 1}{3}, x = \frac{- 40 \cdot 5 ^{\frac{1}{2}} - 1}{3}

Decimal Notation

x = 29.48090 \dots, x = - 30.14757 \dots

Solution steps

(3 x + 1)^{\frac{2}{3}} - 15 = 5

Move

15

to the right side

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

Take both sides of the equation to the power of

3 : (3 x + 1)^{2} = 8000

(3 x + 1)^{2} = 8000

Solve

(3 x + 1)^{2} = 8000 : x = \frac{40 \cdot 5 ^{\frac{1}{2}} - 1}{3}, x = \frac{- 40 \cdot 5 ^{\frac{1}{2}} - 1}{3}

x = \frac{40 \cdot 5 ^{\frac{1}{2}} - 1}{3}, x = \frac{- 40 \cdot 5 ^{\frac{1}{2}} - 1}{3}

Verify Solutions:

x = \frac{40 \cdot 5 ^{\frac{1}{2}} - 1}{3}

True

, x = \frac{- 40 \cdot 5 ^{\frac{1}{2}} - 1}{3}

True

The solutions are

x = \frac{40 \cdot 5 ^{\frac{1}{2}} - 1}{3}, x = \frac{- 40 \cdot 5 ^{\frac{1}{2}} - 1}{3}

3 + 2 x + 2 = x

42 - 22 x = 2 x

2 x - 2 x + 1 = 1

x^{2} - 7 = 3

What is the answer to (3x+1)^{2/3}-15=5 ?
The answer to (3x+1)^{2/3}-15=5 is x=(40*5^{1/2}-1)/3 ,x=(-40*5^{1/2}-1)/3
Solve for x: (3x+1)^{2/3}-15=5
The solution is x=(40*5^{1/2}-1)/3 ,x=(-40*5^{1/2}-1)/3