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

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

Evaluate

$$2$$

Solution Steps

Calculate -1 to the power of 2 and get 1.

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

Multiply 4 and 2 to get 8.

$$\frac{1+\sqrt{1-8\left(-6\right)}}{4}$$

Multiply 8 and -6 to get -48.

$$\frac{1+\sqrt{1-\left(-48\right)}}{4}$$

The opposite of -48 is 48.

$$\frac{1+\sqrt{1+48}}{4}$$

Add 1 and 48 to get 49.

$$\frac{1+\sqrt{49}}{4}$$

Calculate the square root of 49 and get 7.

$$\frac{1+7}{4}$$

Add 1 and 7 to get 8.

$$\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2$$

Factor

$$2$$