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 ⬇️.

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✏️📓 Solution Time! 📓✏️

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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