Solve frac{-110+-sqrt{110^2-4*2*-7600}}{2*2}

$$\frac{ -110+- \sqrt{ { 110 }^{ 2 } -4 \cdot 2 \times -7600 } }{ 2 \cdot 2 }$$

Evaluate

$$-95$$

Solution Steps

Calculate 110 to the power of 2 and get 12100.

$$\frac{-110-\sqrt{12100-4\times 2\left(-7600\right)}}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{-110-\sqrt{12100-8\left(-7600\right)}}{2\times 2}$$

Multiply 8 and -7600 to get -60800.

$$\frac{-110-\sqrt{12100-\left(-60800\right)}}{2\times 2}$$

The opposite of -60800 is 60800.

$$\frac{-110-\sqrt{12100+60800}}{2\times 2}$$

Add 12100 and 60800 to get 72900.

$$\frac{-110-\sqrt{72900}}{2\times 2}$$

Calculate the square root of 72900 and get 270.

$$\frac{-110-270}{2\times 2}$$

Subtract 270 from -110 to get -380.

$$\frac{-380}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{-380}{4}$$

Divide -380 by 4 to get -95.

$$-95$$

Factor

$$-95$$