Math n' Stuff w/ The Younge Lady: trinomial

Sunday, May 2, 2021

Weekly Math Problem #48

Radical Equation. I was in a pinch and decided to look to the topic of solving radical equations for this week's problem. Based on my observations from working with others, mistakes tend to happen after the radical disappears--meaning students seem to understand the mechanism by which the radical should "disappear" and stumble to solve the resulting equation. Let's see how solving this one goes.

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

✔️ How to use exponent rules
✔️ How to factor a trinomial

WMP! #48 says to:

Happy solving!

Check back on Friday, May 7th for the solution, which will be posted below ⬇️.

Shameless 🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

⬇️

Solving this equation is straight forward. The radical expression is already isolated so, you can make the radical "disappear" and solve the resulting cubic equation. The factor by grouping method was used to solve the equation, after it was fixed to be equal to zero.

Checking the potential solutions above wasn't too bad so, it was done below.

Here is a graph of the two functions involved in the original equation, with the intersection points in black.

If you stuck around to this point, you're a star!

▪️ Let me know what you thought about this week's problem.

Thanks for solving with me this week!

Up next, WMP! #49. 👩🏿‍🏫

Cheers!

The Younge Lady

Sunday, April 18, 2021

Weekly Math Problem! #47

2nd Order ODE. Sometimes, topics just come to mind and I say to myself, 🤔 "Haven't done that in a while. I should do it so I don't forget." That's pretty much it. Well, sometimes I can see the problem or parts of the problem and not quite remember the name of the topic. Then I'll have a little digging to do so that I can get the name of the topic. Well, 2nd order ode (second order ordinary differential equation) is the order for this week. 😅 Specifically, we're looking at a non-homogenous equation with constant coefficients.

⚠️Many steps involved.⚠️To solve this week's problem in completion, you need to recall the following math skills:

        ✔️   How to factor a trinomial
        ✔️   How to use the method of undetermined coefficients
        ✔️   How to find derivatives

WMP! #47 says to:

Happy solving!

Check back on Friday, April 23rd for the solution, which will be posted below ⬇️.

Shameless 🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

⬇️

You can't say I didn't warn you about the many steps involved in the solution to this problem. Why did I do it? Well...because it's good practice and I want to make sure that I can remember math at this level. As I challenge my myself, I challenge you.

🧐 Let's get it!

I did my best to organize my solution and color code it so that it would be understood a little better.

The general solution to the equation can be broken down into two parts--the homogeneous solution and the particular solution.

I worked on the homogenous solution, before tackling the particular solution. Once I got bot parts, I put them together to complete the general solution to the equation.