Solve frac{-6+sqrt{6^2-(4)(1)(-40)}}{2*1}

$$\frac { - 6 + \sqrt { 6 ^ { 2 } - ( 4 ) ( 1 ) ( - 40 ) } } { 2 \cdot 1 }$$

Evaluate

$$4$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{-6+\sqrt{36-4\times 1\left(-40\right)}}{2\times 1}$$

Multiply 4 and 1 to get 4.

$$\frac{-6+\sqrt{36-4\left(-40\right)}}{2\times 1}$$

Multiply 4 and -40 to get -160.

$$\frac{-6+\sqrt{36-\left(-160\right)}}{2\times 1}$$

The opposite of -160 is 160.

$$\frac{-6+\sqrt{36+160}}{2\times 1}$$

Add 36 and 160 to get 196.

$$\frac{-6+\sqrt{196}}{2\times 1}$$

Calculate the square root of 196 and get 14.

$$\frac{-6+14}{2\times 1}$$

Add -6 and 14 to get 8.

$$\frac{8}{2\times 1}$$

Multiply 2 and 1 to get 2.

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

Divide 8 by 2 to get 4.

$$4$$

Factor

$$2^{2}$$