Complex Numbers. As if numbers weren't already complicated, there exist complex numbers. When did that happen and why? 🤷🏿😂🤦🏿♀️ I'm going a bit lite in this week's problem. (At least, I think it's lite.)
To solve this week's problem in completion, you need to recall the following math skills:
✔️ How to deal with imaginary numbers
✔️ How to multiply conjugates
✔️ How to square fractions
Here is WMP! #17...
Happy solving!
Check back on Friday, August 28th for the solution, which will be posted below ⬇️.
Shameless plug: Follow me on Instagram @TheYoungeLady
✏️📓 Solution Time! 📓✏️
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Did you find the problem annoying? You can tell the truth. This is a no-judgment zone. Listen, a problem like this requires your attention because mistakes can easily be made. Did I find it annoying? Well, I didn't find it the opposite of annoying and that's my answer. 😁
I did the problem in two parts. The first part was just the squaring and simplification of the rational expression:
Once that was completed, I proceeded to the second part which consisted of rationalizing the denominator of the result:
I definitely did not get this on the first try. How did I know that I was incorrect on the first try? I used Mathway - Algebra to check my answer, because I know with all of those negative signs floating around, I could've easily made a mistake...and I did. So, I went back and searched my work to locate the error. These are the kind of problems a teacher would give as extra credit. 😅
◾️ How did you feel about squaring fractions and rationalizing the denominator??
◾️ Comment below with your responses and let me know what you thought about this week's problem.
Are we up to WMP! #18 already?
Cheers!
The Younge Lady
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