Solve 5/6x 7/8x=696

Evaluate

\frac{5}{6} x \times \frac{7}{8} x = 696

Multiply

More Steps

\frac{35}{48} x^{2} = 696

Divide both sides

\frac{\frac{35}{48} x ^{2}}{\frac{35}{48}} = \frac{696}{\frac{35}{48}}

Divide the numbers

x^{2} = \frac{33408}{35}

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

x = \pm \frac{33408}{35}

Simplify the expression

x = \pm \frac{24 2030}{35}

Separate the equation into 2 possible cases

x = \frac{24 2030}{35} x = - \frac{24 2030}{35}

Solution

x_{1} = - \frac{24 2030}{35}, x_{2} = \frac{24 2030}{35}

Alternative Form

x_{1} \approx - 30.895215, x_{2} \approx 30.895215

Solve the quadratic equation