Solve frac{2-sqrt{4^2-4*-4*0}}{2*-4}

$$\frac{ 2- \sqrt{ { 4 }^{ 2 } -4 \times -4 \cdot 0 } }{ 2 \times -4 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{2-\sqrt{16-4\left(-4\right)\times 0}}{2\left(-4\right)}$$

Multiply 4 and -4 to get -16.

$$\frac{2-\sqrt{16-\left(-16\times 0\right)}}{2\left(-4\right)}$$

Multiply -16 and 0 to get 0.

$$\frac{2-\sqrt{16-0}}{2\left(-4\right)}$$

Subtract 0 from 16 to get 16.

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

Calculate the square root of 16 and get 4.

$$\frac{2-4}{2\left(-4\right)}$$

Subtract 4 from 2 to get -2.

$$\frac{-2}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$\frac{-2}{-8}$$

Reduce the fraction \frac{-2}{-8} to lowest terms by extracting and canceling out -2.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$