Solve frac{-5+sqrt{-121}}{2(-6)}

$$\frac { - 5 + \sqrt { - 121 } } { 2 ( - 6 ) }$$

Evaluate (complex solution)

$$\frac{5}{12}-\frac{11}{12}i\approx 0.416666667-0.916666667i$$

Solution Steps

Calculate the square root of -121 and get 11i.

$$\frac{-5+11i}{2\left(-6\right)}$$

Multiply 2 and -6 to get -12.

$$\frac{-5+11i}{-12}$$

Divide -5+11i by -12 to get \frac{5}{12}-\frac{11}{12}i.

$$\frac{5}{12}-\frac{11}{12}i$$

Real Part (complex solution)

$$\frac{5}{12} = 0.4166666666666667$$

Solution Steps

Calculate the square root of -121 and get 11i.

$$Re(\frac{-5+11i}{2\left(-6\right)})$$

Multiply 2 and -6 to get -12.

$$Re(\frac{-5+11i}{-12})$$

Divide -5+11i by -12 to get \frac{5}{12}-\frac{11}{12}i.

$$Re(\frac{5}{12}-\frac{11}{12}i)$$

The real part of \frac{5}{12}-\frac{11}{12}i is \frac{5}{12}.

$$\frac{5}{12}$$

Evaluate

$$\text{Indeterminate}$$