Complex Numbers?

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as i² = -1.

The imaginary unit, denoted as i, is defined as the square root of -1, i.e., i = $$\text{sqrt}(-1)$$ .

To add complex numbers, combine their real parts and their imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.

To subtract complex numbers, subtract their real parts and their imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.

To multiply complex numbers, use the distributive property (FOIL). For example, (a + bi)(c + di) = ac + adi + bci + bdi² = (ac - bd) + (ad + bc)i.

$$\frac{-10+6i}{17}$$ is already in its simplest form.

The sum is -2 + 6i.

The product is 34 - 13i.

The result is -25 + 18i.

The solutions are x = 5/2 and x = -5/2.