Solve |2x^3/4|=5 6/7

Question

Solve the equation

x_{1} = - \frac{3 4018}{7}, x_{2} = \frac{3 4018}{7}

Alternative Form

x_{1} \approx - 2.271112, x_{2} \approx 2.271112

Evaluate

(2 \times \frac{x ^{3}}{4}) = 5 \frac{6}{7}

Multiply the terms

More Steps

\frac{x ^{3}}{2} = 5 \frac{6}{7}

Covert the mixed number to an improper fraction

More Steps

\frac{x ^{3}}{2} = \frac{41}{7}

Separate the equation into 2 possible cases

\frac{x ^{3}}{2} = \frac{41}{7} \frac{x ^{3}}{2} = - \frac{41}{7}

Solve the equation for x

More Steps

x = \frac{3 4018}{7} \frac{x ^{3}}{2} = - \frac{41}{7}

Solve the equation for x

More Steps

x = \frac{3 4018}{7} x = - \frac{3 4018}{7}

Solution

x_{1} = - \frac{3 4018}{7}, x_{2} = \frac{3 4018}{7}

Alternative Form

x_{1} \approx - 2.271112, x_{2} \approx 2.271112

Show Solution