Solving Equations With Complex Numbers

This algebra video tutorial explains how to solve equations with complex numbers. You simply need to write two separate equations. One equation should only contain real numbers and the other should contain only imaginary numbers.

Imaginary Numbers - Basic Intro:

Graphing Complex Numbers:

Absolute Value of Complex Numbers:

Adding & Subtracting Complex Numbers:

Multiplying Complex Numbers:

Dividing Complex Numbers:

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Simplifying Complex Numbers:

SAT Math - Complex Numbers:

Solving Equations With Complex Numbers:

Imaginary Solutions of Polynomials:

Complex Numbers - Test Review:

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The Discriminant:

Complex Numbers In Polar Form:

Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[ondrejsvec]

Video well done. No extra talking, I like it!

[syalhmyra]

this man really helps me with my university journey. thanks man!

[ComputerGuru-tkhg]

Julio you are a genius mate, you saved me in linear algebra keep it up man

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture.

[josephcioe]

In the first equation wouldn't x = 15i/2 and y = -8i/3 work just as well?

[ershodyusupov]

That's very easy with the help of you!

[Lucas-nfuj]

Why does separating the equations into real and imaginary parts work? Seems like ripping numbers out of equation would mess things up.

[Whosaids]

Are most if not all complex equations simplified? Can any/all equations be solved using long form addition and or subtraction only?

[hama-a]

Hi dear I have a problem can you help me out plz?

[asmaimran]

Then what will be the ans of
X+yi/2-1 = 5-i

[rnoxndp]

But what if you just have one i in the equation

[kwxnele.m]

Please do a simultaneous equation on this section

[mrmimi]

So it the imaganiry unit i is not squared it impossible to calculate its value in the real number

[henryisaac]

But😢pls hw do l go with the signa if am to write the finial answers

[encounteredgaming]

Bro wont you tell polar and eular form of complex number?

[kojak]

Now what is one side of the equation has a 36i^2

[seanyboyblu]

Why are you assuming that x is a real number? X can be a complex number