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- anonymous

please help I will fan and medal
Part B: Solve 4x^2 + 8x − 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

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- anonymous

- katieb

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- Hero

Step 1, let 8x = 10x - 2x

- anonymous

okay then how would you rewright it in the appropriate method

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- Hero

In other words, replace 8x with 10x - 2x so that you have
4x^2 + 10x - 2x -5

- anonymous

okay I see so what method would I use to solve this appropriately

- Hero

Basically, at this point you can factor by grouping. So I guess that's what you wanted to know right?

- anonymous

yeah and now would I factor by grouping with this problem

- Hero

You take the expression 4x^2 + 10x - 2x -5 and do the following:
1. Factor the first two terms
2, Factor the last two terms
3. Factor out what is common to both factorizations.
Let me know what you get afterwards.

- anonymous

2x? @Hero

- anonymous

(2x-1) (2x+5)

- Hero

Congratulations, you did it!

- anonymous

thank you but my last question is why is this method the one to use

- anonymous

does my question make sense? @Hero

- Hero

There are a few reasons why:
1. It's algorithmic, meaning it can work with any factorable quadratic expression.
2. It's an application of the distributive property.
3. It's a better method to learn and teach than the mental method.

- anonymous

thank you so much

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