Complex Numbers

for a given complex number $a+bi$, the number with the same real part and the opposite imaginary part, or $a-bi$

sum of a real number and a pure imaginary number

plane used to locate points that represent complex numbers in terms of distance from the real axis and the imaginary axis

part of the quadratic formula that is under the radical sign:

vertical axis in the complex plane, representing the set of pure imaginary numbers

number of the form $bi$, where $b$ is a real number and $i$ is the imaginary unit

square root of -1, written as $i$:

terms that contain the same variable (or variables) with the same exponents

trinomial of the form $a^2+2ab+b^2$ or $a^2-2ab+b^2$ that can be written as the square of a binomial

equation, where $a$, $b$, and $c$ are real numbers and $a\neq0$, expressed as:

formula used to solve a quadratic equation of the form $ax^2+bx+c=0$ by using its coefficients:

expression that contains at least one radical sign, $\sqrt{\phantom{0}}$

horizontal axis in the complex plane, representing the set of real numbers

number in the set of all rational and irrational numbers

solution of an equation that is also a real number

form for any real numbers $a$ and $b$ written as:

part of an expression that is separated from other parts by addition or subtraction