Solve 5/(x^3)=x/2

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Example problems

Type your math problem... 5/(x^3)=x/2

Question

Solve the equation

x_{1} = - 410, x_{2} = 410

Alternative Form

x_{1} \approx - 1.778279, x_{2} \approx 1.778279

Evaluate

\frac{5}{x ^{3}} = \frac{x}{2}

Find the domain

More Steps

Evaluate

x^{3} \neq = 0

The only way a power can not be 0 is when the base not equals 0

x \neq = 0

\frac{5}{x ^{3}} = \frac{x}{2}, x \neq = 0

Cross multiply

5 \times 2 = x^{3} \times x

Simplify the equation

10 = x^{3} \times x

Simplify the equation

10 = x^{4}

Swap the sides of the equation

x^{4} = 10

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

x = \pm 410

Separate the equation into 2 possible cases

x = 410 x = - 410

Check if the solution is in the defined range

x = 410 x = - 410, x \neq = 0

Find the intersection of the solution and the defined range

x = 410 x = - 410

Solution

x_{1} = - 410, x_{2} = 410

Alternative Form

x_{1} \approx - 1.778279, x_{2} \approx 1.778279

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