Solving A Rational Equation. I definitely get why people don't like fractions. They can be super annoying to deal with, especially when the fractions have variables in them. 🙄 Plus, mathematics has a few stipulations concerning fractions that must not be ignored--like the denominators having to be the same before being able to add/subtract them. I guess...🤷🏿...lol.
If you don't like basic fractions, then you're surely not gonna like this week's problem. And you know what? You have every right not to like it. L👀k below to see why I said what I said.
To solve this week's problem in completion, you need to recall the following math skills:
✔️ Methods for solving rational equations
✔️ Factoring polynomials
✔️ Multiplying binomials
Happy solving!
Check back on Friday, July 3rd for the solution, which will be posted below ⬇️.
Shameless plug: Follow me on Instagram @TheYoungeLady
✏️📓 Solution Time! 📓✏️
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I'm definitely a fan of getting rid of fractions when solving rational equations. As you can see, the original equation was reduced to solving a quadratic equation, which yielded distinct roots. ⚠️ CHECK YOUR SOLUTION(S)! ⚠️ Even though the quadratic yielded two roots, there is no guarantee that those roots will be the solutions for the original rational equation. They are potential solutions, awaiting your check for them to be verified solutions. My check is below. You don't have to check "by hand" like I did below. (I did it like that to keep my skills sharpened.) Feel free to use a calculator or mathematics software to aid you in checking the solution. (Of course, the tool you choose to use will depend on the situation you're in.)
However you choose to check the potential solutions, you should find that both of them satisfy the original rational equation. 👍🏿
◾️ How you handle rational equations??
◾️ When was the last time you even solved an equation like this??
◾️ Comment below with your responses and let me know what you thought about this week's problem.
Wow...we're close to WMP! #10 😲
Cheers!
The Younge Lady
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