Solve \frac{1}{2}x \frac{4}{3}x=33

Evaluate

\frac{1}{2} x \times \frac{4}{3} x = 33

Multiply

More Steps

\frac{2}{3} x^{2} = 33

Divide both sides

\frac{\frac{2}{3} x ^{2}}{\frac{2}{3}} = \frac{33}{\frac{2}{3}}

Divide the numbers

x^{2} = \frac{99}{2}

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

x = \pm \frac{99}{2}

Simplify the expression

x = \pm \frac{3 22}{2}

Separate the equation into 2 possible cases

x = \frac{3 22}{2} x = - \frac{3 22}{2}

Solution

x_{1} = - \frac{3 22}{2}, x_{2} = \frac{3 22}{2}

Alternative Form

x_{1} \approx - 7.035624, x_{2} \approx 7.035624

Solve the quadratic equation