Solve frac{(-17)+sqrt{(-17)^2-4(2)(-16)}}{2(2)}

$$\frac { ( - 17 ) + \sqrt { ( - 17 ) ^ { 2 } - 4 ( 2 ) ( - 16 ) } } { 2 ( 2 ) }$$

Evaluate

$$\frac{\sqrt{417}-17}{4}\approx 0.855144464$$

Solution Steps

Calculate -17 to the power of 2 and get 289.

$$\frac{-17+\sqrt{289-4\times 2\left(-16\right)}}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{-17+\sqrt{289-8\left(-16\right)}}{2\times 2}$$

Multiply 8 and -16 to get -128.

$$\frac{-17+\sqrt{289-\left(-128\right)}}{2\times 2}$$

The opposite of -128 is 128.

$$\frac{-17+\sqrt{289+128}}{2\times 2}$$

Add 289 and 128 to get 417.

$$\frac{-17+\sqrt{417}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{-17+\sqrt{417}}{4}$$