Solve frac{-5+sqrt{-5^2}-4(3)(2)}{2(2)}

$$\frac { - 5 + \sqrt { - 5 ^ { 2 } } - 4 ( 3 ) ( 2 ) } { 2 ( 2 ) }$$

Evaluate (complex solution)

$$-\frac{29}{4}+\frac{5}{4}i=-7.25+1.25i$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{-5+\sqrt{-25}-4\times 3\times 2}{2\times 2}$$

Calculate the square root of -25 and get 5i.

$$\frac{-5+5i-4\times 3\times 2}{2\times 2}$$

Multiply 4 and 3 to get 12.

$$\frac{-5+5i-12\times 2}{2\times 2}$$

Multiply 12 and 2 to get 24.

$$\frac{-5+5i-24}{2\times 2}$$

Subtract 24 from -5+5i by subtracting corresponding real and imaginary parts.

$$\frac{-5-24+5i}{2\times 2}$$

Subtract 24 from -5 to get -29.

$$\frac{-29+5i}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{-29+5i}{4}$$

Divide -29+5i by 4 to get -\frac{29}{4}+\frac{5}{4}i.

$$-\frac{29}{4}+\frac{5}{4}i$$

Real Part (complex solution)

$$-\frac{29}{4} = -7\frac{1}{4} = -7.25$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$Re(\frac{-5+\sqrt{-25}-4\times 3\times 2}{2\times 2})$$

Calculate the square root of -25 and get 5i.

$$Re(\frac{-5+5i-4\times 3\times 2}{2\times 2})$$

Multiply 4 and 3 to get 12.

$$Re(\frac{-5+5i-12\times 2}{2\times 2})$$

Multiply 12 and 2 to get 24.

$$Re(\frac{-5+5i-24}{2\times 2})$$

Subtract 24 from -5+5i by subtracting corresponding real and imaginary parts.

$$Re(\frac{-5-24+5i}{2\times 2})$$

Subtract 24 from -5 to get -29.

$$Re(\frac{-29+5i}{2\times 2})$$

Multiply 2 and 2 to get 4.

$$Re(\frac{-29+5i}{4})$$

Divide -29+5i by 4 to get -\frac{29}{4}+\frac{5}{4}i.

$$Re(-\frac{29}{4}+\frac{5}{4}i)$$

The real part of -\frac{29}{4}+\frac{5}{4}i is -\frac{29}{4}.

$$-\frac{29}{4}$$

Evaluate

$$\text{Indeterminate}$$