number that can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit
A complex number is a number written as a + bi, where a and b are regular numbers and i is a special unit called the imaginary unit. This form lets mathematicians work with a broader type of number than just regular numbers, which is useful for solving certain kinds of problems.
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A complex number z can be visually represented as a pair of numbers (a, b) forming a position vector (blue) or a point (red) on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i = −1.
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation
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