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

The answer to 3sqrt(x^2)=x^{2/3} is x=0,x= 1/27 ,x=-1/27

Solve for x: 3sqrt(x^2)=x^{2/3}

The solution is x=0,x= 1/27 ,x=-1/27

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3 x^{2} = x^{\frac{2}{3}}

x = 0, x = \frac{1}{27}, x = - \frac{1}{27}

Decimal Notation

x = 0, x = 0.03703 \dots, x = - 0.03703 \dots

Solution steps

3 x^{2} = x^{\frac{2}{3}}

Take both sides of the equation to the power of

6 : 729 x^{6} = x^{4}

729 x^{6} = x^{4}

Solve

729 x^{6} = x^{4} : x = 0, x = \frac{1}{27}, x = - \frac{1}{27}

x = 0, x = \frac{1}{27}, x = - \frac{1}{27}

Verify Solutions:

x = 0

True

, x = \frac{1}{27}

True

, x = - \frac{1}{27}

True

The solutions are

x = 0, x = \frac{1}{27}, x = - \frac{1}{27}

x + 18 = 2 - x

2 x^{2} + 16 = 3 x

- x - 4 + 3 = - 1

\frac{2}{3 + x} - x + 5 = 0

What is the answer to 3sqrt(x^2)=x^{2/3} ?
The answer to 3sqrt(x^2)=x^{2/3} is x=0,x= 1/27 ,x=-1/27
Solve for x: 3sqrt(x^2)=x^{2/3}
The solution is x=0,x= 1/27 ,x=-1/27