Solve frac{-(1)+sqrt{(1)^2-4(4)(-4)}}{2(4)}

$$\frac { - ( 1 ) + \sqrt { ( 1 ) ^ { 2 } - 4 ( 4 ) ( - 4 ) } } { 2 ( 4 ) }$$

Evaluate

$$\frac{\sqrt{65}-1}{8}\approx 0.882782219$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{-1+\sqrt{1-4\times 4\left(-4\right)}}{2\times 4}$$

Multiply 4 and 4 to get 16.

$$\frac{-1+\sqrt{1-16\left(-4\right)}}{2\times 4}$$

Multiply 16 and -4 to get -64.

$$\frac{-1+\sqrt{1-\left(-64\right)}}{2\times 4}$$

The opposite of -64 is 64.

$$\frac{-1+\sqrt{1+64}}{2\times 4}$$

Add 1 and 64 to get 65.

$$\frac{-1+\sqrt{65}}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{-1+\sqrt{65}}{8}$$