Solve frac{-6+sqrt{6^2}-4(1)(3)}{2(1)}

$$\frac { - 6 + \sqrt { 6 ^ { 2 } } - 4 ( 1 ) ( 3 ) } { 2 ( 1 ) }$$

Evaluate

$$-6$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{-6+\sqrt{36}-4\times 1\times 3}{2\times 1}$$

Calculate the square root of 36 and get 6.

$$\frac{-6+6-4\times 1\times 3}{2\times 1}$$

Add -6 and 6 to get 0.

$$\frac{0-4\times 1\times 3}{2\times 1}$$

Multiply 4 and 1 to get 4.

$$\frac{0-4\times 3}{2\times 1}$$

Multiply 4 and 3 to get 12.

$$\frac{0-12}{2\times 1}$$

Subtract 12 from 0 to get -12.

$$\frac{-12}{2\times 1}$$

Multiply 2 and 1 to get 2.

$$\frac{-12}{2}$$

Divide -12 by 2 to get -6.

$$-6$$

Factor

$$-6$$