Solve =frac{-6+-sqrt{6^2-4*5*1}}{2*5}

$$= \frac{ -6+- \sqrt{ { 6 }^{ 2 } -4 \times 5 \times 1 } }{ 2 \times 5 }$$

Evaluate

$$-1$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{-6-\sqrt{36-4\times 5\times 1}}{2\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{-6-\sqrt{36-20\times 1}}{2\times 5}$$

Multiply 20 and 1 to get 20.

$$\frac{-6-\sqrt{36-20}}{2\times 5}$$

Subtract 20 from 36 to get 16.

$$\frac{-6-\sqrt{16}}{2\times 5}$$

Calculate the square root of 16 and get 4.

$$\frac{-6-4}{2\times 5}$$

Subtract 4 from -6 to get -10.

$$\frac{-10}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{-10}{10}$$

Divide -10 by 10 to get -1.

$$-1$$

Factor

$$-1$$