Question

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.

Answer 1

@pooja195 @Hero

Answer 2

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

Answer 3

okay then how would you rewright it in the appropriate method

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

yeah and now would I factor by grouping with this problem

Answer 8

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.

Answer 9

2x? @Hero

Answer 10

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

Answer 11

Congratulations, you did it!

Answer 12

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

Answer 13

does my question make sense? @Hero

Answer 14

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.

Answer 15

thank you so much