Solve 50%x(x+1/2x)=240

Evaluate

50% x (x + \frac{1}{2} x) = 240

Simplify

More Steps

\frac{3}{4} x^{2} = 240

Divide both sides

\frac{\frac{3}{4} x ^{2}}{\frac{3}{4}} = \frac{240}{\frac{3}{4}}

Divide the numbers

x^{2} = 320

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

x = \pm 320

Simplify the expression

x = \pm 85

Separate the equation into 2 possible cases

x = 85 x = - 85

Solution

x_{1} = - 85, x_{2} = 85

Alternative Form

x_{1} \approx - 17.888544, x_{2} \approx 17.888544

Solve the quadratic equation