What is the answer to (3x+5)^{2/3}=4 ?

The answer to (3x+5)^{2/3}=4 is x=1,x=-13/3

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

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

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

Decimal Notation

x = 1, x = - 4.33333 \dots

Solution steps

(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 - x + 1 = 4 x - 9

4 x - 2 = 10 x + 6

(2 x^{2} + 8)^{\frac{1}{4}} = x

4 x + 20 = x + 2

What is the answer to (3x+5)^{2/3}=4 ?
The answer to (3x+5)^{2/3}=4 is x=1,x=-13/3
Solve for x: (3x+5)^{2/3}=4
The solution is x=1,x=-13/3