Solve 2(x^2)^(2/3) 2=34

Evaluate

2 (x^{2})^{\frac{2}{3}} \times 2 = 34

Simplify

More Steps

4 x^{\frac{4}{3}} = 34

Divide both sides

\frac{4 x ^{\frac{4}{3}}}{4} = \frac{34}{4}

Divide the numbers

x^{\frac{4}{3}} = \frac{34}{4}

Cancel out the common factor 2

x^{\frac{4}{3}} = \frac{17}{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm (\frac{17}{2})^{\frac{3}{4}}

Simplify the expression

x = \pm \frac{4 9826}{2}

Separate the equation into 2 possible cases

x = \frac{4 9826}{2} x = - \frac{4 9826}{2}

Solution

x_{1} = - \frac{4 9826}{2}, x_{2} = \frac{4 9826}{2}

Alternative Form

x_{1} \approx - 4.978107, x_{2} \approx 4.978107

Solve the equation