Solve x: 2x^3=11 - ScanMath

Evaluate

x \div 2 x^{3} = 11

Find the domain

More Steps

x \div 2 x^{3} = 11, x \neq = 0

Divide the terms

More Steps

\frac{1}{2 x ^{2}} = 11

Cross multiply

1 = 2 x^{2} \times 11

Simplify the equation

1 = 22 x^{2}

Swap the sides of the equation

22 x^{2} = 1

Divide both sides

\frac{22 x ^{2}}{22} = \frac{1}{22}

Divide the numbers

x^{2} = \frac{1}{22}

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

x = \pm \frac{1}{22}

Simplify the expression

More Steps

x = \pm \frac{22}{22}

Separate the equation into 2 possible cases

x = \frac{22}{22} x = - \frac{22}{22}

Check if the solution is in the defined range

x = \frac{22}{22} x = - \frac{22}{22}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{22}{22} x = - \frac{22}{22}

Solution

x_{1} = - \frac{22}{22}, x_{2} = \frac{22}{22}

Alternative Form

x_{1} \approx - 0.213201, x_{2} \approx 0.213201

Solve the equation