Solve frac{-(7)+sqrt{7^2-4(4)(9)}}{2(-7)}

$$\frac { - ( 7 ) + \sqrt { 7 ^ { 2 } - 4 ( 4 ) ( 9 ) } } { 2 ( - 7 ) }$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{-7+\sqrt{49-4\times 4\times 9}}{2\left(-7\right)}$$

Multiply 4 and 4 to get 16.

$$\frac{-7+\sqrt{49-16\times 9}}{2\left(-7\right)}$$

Multiply 16 and 9 to get 144.

$$\frac{-7+\sqrt{49-144}}{2\left(-7\right)}$$

Subtract 144 from 49 to get -95.

$$\frac{-7+\sqrt{-95}}{2\left(-7\right)}$$

Multiply 2 and -7 to get -14.

$$\frac{-7+\sqrt{-95}}{-14}$$

Multiply both numerator and denominator by -1.

$$\frac{7-\sqrt{-95}}{14}$$