How Do You Find Values for x and y to Make Two Complex Numbers Equal?

How Do You Find Values for x and y to Make Two Complex Numbers Equal?

Note:

Solving complex numbers isn't as complex as you might think. Just match up the real parts and the imaginary parts and solve! This tutorial shows you how to solve an equation involving complex numbers for specific variables.

Keywords:

  • problem
  • complex numbers
  • equal
  • x
  • y
  • real
  • imaginary

Background Tutorials

  • Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

      • What's a Real Number?What's a Real Number?

      What's a Real Number?

      Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. This tutorial explains real numbers and gives some great examples. Take a look!

  • Know there is a complex number i such that i^2 = -1, and every complex number has the form a + bi with a and b real.

      • What is the Imaginary Unit i?What is the Imaginary Unit i?

      What is the Imaginary Unit i?

      Every tried to take the square root of a negative number? You'll need the imaginary unit 'i' to write the answer. This tutorial introduces you to this useful imaginary unit.

Further Exploration

  • Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

      • How Do You Add Complex Numbers?How Do You Add Complex Numbers?

      How Do You Add Complex Numbers?

      If you want to add complex numbers together, first regroup them so that like terms are next to one another. Then, add the like terms together, and you have your answer! To see an example, check out this tutorial.