Solve frac{-4+-sqrt{4^2-4(-1)(-3)}}{2(-1)}

$$\frac{ -4+- \sqrt{ { 4 }^{ 2 } -4(-1)(-3) } }{ 2(-1) }$$

Evaluate

$$3$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{-4-\sqrt{16-4\left(-1\right)\left(-3\right)}}{2\left(-1\right)}$$

Multiply 4 and -1 to get -4.

$$\frac{-4-\sqrt{16-\left(-4\left(-3\right)\right)}}{2\left(-1\right)}$$

Multiply -4 and -3 to get 12.

$$\frac{-4-\sqrt{16-12}}{2\left(-1\right)}$$

Subtract 12 from 16 to get 4.

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

Calculate the square root of 4 and get 2.

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

Subtract 2 from -4 to get -6.

$$\frac{-6}{2\left(-1\right)}$$

Multiply 2 and -1 to get -2.

$$\frac{-6}{-2}$$

Divide -6 by -2 to get 3.

$$3$$

Factor

$$3$$