Solve frac{--4-sqrt{-4^2-4*1*3}}{2}

$$\frac{ --4- \sqrt{ { -4 }^{ 2 } -4 \cdot 1 \cdot 3 } }{ 2 }$$

Evaluate

$$1$$

Solution Steps

The opposite of -4 is 4.

$$\frac{4-\sqrt{\left(-4\right)^{2}-4\times 1\times 3}}{2}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{4-\sqrt{16-4\times 1\times 3}}{2}$$

Multiply 4 and 1 to get 4.

$$\frac{4-\sqrt{16-4\times 3}}{2}$$

Multiply 4 and 3 to get 12.

$$\frac{4-\sqrt{16-12}}{2}$$

Subtract 12 from 16 to get 4.

$$\frac{4-\sqrt{4}}{2}$$

Calculate the square root of 4 and get 2.

$$\frac{4-2}{2}$$

Subtract 2 from 4 to get 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$