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

The answer to (3x+5)^{2/3}-2=2 is x=1,x=-13/3

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(3x+5)^{2/3}-2=2

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

x = 1, x = - \frac{13}{3}

Decimal Notation

x = 1, x = - 4.33333 \dots

Solution steps

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

Move

2

to the right side

(3 x + 5)^{\frac{2}{3}} = 4

Take both sides of the equation to the power of

3 : (3 x + 5)^{2} = 64

(3 x + 5)^{2} = 64

Solve

(3 x + 5)^{2} = 64 : x = 1, x = - \frac{13}{3}

x = 1, x = - \frac{13}{3}

Verify Solutions:

x = 1

True

, x = - \frac{13}{3}

True

The solutions are

x = 1, x = - \frac{13}{3}

x + 3 - 1 = x

6 x - 4 = 2 x + 10

2 x + 1 = 4

x 16 - x^{2} = 0

2 x - 5 + 4 = x

What is the answer to (3x+5)^{2/3}-2=2 ?
The answer to (3x+5)^{2/3}-2=2 is x=1,x=-13/3
Solve for x: (3x+5)^{2/3}-2=2
The solution is x=1,x=-13/3