Solve frac{-(30)+sqrt{(30)^2-4(-271)(-15.5)}}{2(-2.71)}

$$\frac { - ( 30 ) + \sqrt { ( 30 ) ^ { 2 } - 4 ( - 271 ) ( - 15.5 ) } } { 2 ( - 2.71 ) }$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate 30 to the power of 2 and get 900.

$$\frac{-30+\sqrt{900-4\left(-271\right)\left(-15.5\right)}}{2\left(-2.71\right)}$$

Multiply 4 and -271 to get -1084.

$$\frac{-30+\sqrt{900-\left(-1084\left(-15.5\right)\right)}}{2\left(-2.71\right)}$$

Multiply -1084 and -15.5 to get 16802.

$$\frac{-30+\sqrt{900-16802}}{2\left(-2.71\right)}$$

Subtract 16802 from 900 to get -15902.

$$\frac{-30+\sqrt{-15902}}{2\left(-2.71\right)}$$

Multiply 2 and -2.71 to get -5.42.

$$\frac{-30+\sqrt{-15902}}{-5.42}$$

Multiply both numerator and denominator by -1.

$$\frac{30-\sqrt{-15902}}{5.42}$$