Math n' Stuff w/ The Younge Lady: check

Sunday, June 6, 2021

Weekly Math Problem #53

Rational Equation. (Why is it that when I am intentional about trying to simplify things in my life, my life gets more complicated? 😕🙄😩 Arghhhh! Before I digress more, let me focus.) I'm just taking it back to a classic topic that many don't like...and I don't blame them. FRACTIONS! Not just fractions but, fractions in an equation. I know, I know... L👀k, it wasn't my idea to put fractions and equations together but, it was my idea to make it this week's WMP! Why? Because we can do it and, it helps us to keep fundamental math skills sharp. Let's go!

To solve this week's problem in completion, you need to recall the following math skills:

✔️ How to solve an equation with fractions

WMP! #53 wants us to...

Happy solving!

Check back on Friday, June 11th for the solution, which will be posted below ⬇️.

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✏️📓 Solution Time! 📓✏️

⬇️

Ready? Let's go. 🏃🏿‍♀️

There are a couple of options here--either convert all of the fractions to have the same denominator or, make all of the denominators disappear. I am the type of person to do the latter. Lots of people don't like working with fractions. Nothing wrong with that...I totally get it. The good news is that you don't have to; you can "make them disappear". 😁 To make the fractions disappear, You need to find the LCD (least common denominator) for the fractions in the problem.

Once the LCD has been found, use it to make the fractions disappear. How? Glad you asked. Multiply every fraction in the equation by the LCD. Then solve the resulting linear equation.

Let's check the solution...just in case a mistake was made in solving. 😉

And that's a wrap!

▪️ How did you solve this week's problem??

▪️ Let me know what you thought about this week's problem in the comments section.

Thanks for solving with me this week!

Up next, WMP! #54. 😅

Cheers!

The Younge Lady

Sunday, January 24, 2021

Weekly Math Problem! #35

Polynomial Division. Alright folks. I think I've mentioned this before but, I'm not sure. So, I am mentioning it now. I do my best to make sure I am mixing up the type of problems I post every week. I have learned different types and levels of math over the years and have liked most of it. (Although, I possess a bias for calculus.) As a tutor, I want to make sure that I can help others with various levels of math, especially at the college level. One of the things I have to consider when choosing a problem is making sure that I am able to type the question and it's solution. This week's problem is good. 👍🏿 (I don't know if that's a hint or not. 🤷🏿‍♀️)

To solve this week's problem in completion, you need to recall the following math skills:

✔️ How to divide a polynomial by a binomial

Ready? Great! WMP! #35 says:

Happy solving!

Check back on Friday, January 29th for the solution, which will be posted below ⬇️.

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Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

⬇️

Jumping right in, the numerator in the problem (which is also the dividend) is prime--it cannot be factored. Since, it cannot be factored and reduced, this division needs to be completed the long way...literally ---> via long division. 🥴 Sorry...

Unfortunately, I couldn't show each individual step of the long division process. (A video is needed for that.) What I've done, instead, is just showed the completed long division in two forms--the first with the undistributed negative sign and the second with the distributed negative sign. **Notice that the dividend lacks a cubic term. So, to proceed with the long division method, a place holder must be used: 0x3

As you can see there is a reminder. The reminder should be written as a fraction, with the divisor as the denominator. Putting that along with the quotient shows the final answer as follows:

Wait...not so fast. Let's check it! (That's one of the things that I like about math--you can check your work). To check, we'll multiply the quotient and the divisor, adding the reminder to it.

Now, you're free to go. The check works out and I am satisfied.

▪️ Did your solution work out?

▪️ Leave your response down below and let me know what you thought about this week's problem.