Solve frac{-6-sqrt{36-4*-36*1}}{2}

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

Evaluate

$$-3\sqrt{5}-3\approx -9.708203932$$

Solution Steps

Multiply 4 and -36 to get -144.

$$\frac{-6-\sqrt{36-\left(-144\right)}}{2}$$

The opposite of -144 is 144.

$$\frac{-6-\sqrt{36+144}}{2}$$

Add 36 and 144 to get 180.

$$\frac{-6-\sqrt{180}}{2}$$

Factor 180=6^{2}\times 5. Rewrite the square root of the product \sqrt{6^{2}\times 5} as the product of square roots \sqrt{6^{2}}\sqrt{5}. Take the square root of 6^{2}.

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

Factor

$$3 {(-\sqrt{5} - 1)} = -9.708203932$$