tiny-tim said:can you spot another root?
DmytriE said:
tiny-tim said:Yes.
But why not do it all in one go? …
Find (z - z1)(z - z1*), then (z - z2)(z - z2*), then multiply them.
Complex numbers are numbers that have both a real and imaginary component. They are written in the form a + bi, where a is the real part and bi is the imaginary part.
To solve equations with complex number roots, you can use the quadratic formula. However, if the equation has a higher degree, you may need to use more advanced methods such as factoring or the cubic formula.
Yes, a complex number can have multiple roots. For example, the complex number 4 + 0i has two roots: 2 + 0i and -2 + 0i. However, some complex numbers, such as 0 + 3i, only have one root: 0 + 3i.
To graph complex numbers, you can plot them on a complex plane. The real component is plotted on the x-axis, and the imaginary component is plotted on the y-axis. The point where the two components intersect is the location of the complex number on the plane.
Yes, complex numbers have many real-life applications in fields such as engineering, physics, and economics. They are often used to represent and analyze oscillations, alternating currents, and vibrations, among other things.