Solve 55=1/2*x*7 1/2*x*12

Evaluate

55 = \frac{1}{2} x \times 7 \frac{1}{2} \times x \times 12

Simplify

More Steps

55 = 45 x^{2}

Swap the sides

45 x^{2} = 55

Divide both sides

\frac{45 x ^{2}}{45} = \frac{55}{45}

Divide the numbers

x^{2} = \frac{11}{9}

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

x = \pm \frac{11}{9}

Simplify the expression

x = \pm \frac{11}{3}

Separate the equation into 2 possible cases

x = \frac{11}{3} x = - \frac{11}{3}

Solution

x_{1} = - \frac{11}{3}, x_{2} = \frac{11}{3}

Alternative Form

x_{1} \approx - 1.105542, x_{2} \approx 1.105542

Solve the quadratic equation