3m^2 + 11x – 4 Help please

- anonymous

3m^2 + 11x – 4 Help please

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- anonymous

3(m )(m )

- Luigi0210

Are we factoring?

- anonymous

yeah

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- anonymous

I can't find the 2 numbers):

- anonymous

Can someone please help me?

- Luigi0210

Well break up into two equations, but keep the 3 with the x

- anonymous

so like I did a bit ago? 3(m )(m ) ?

- anonymous

):

- anonymous

I can help :)

- anonymous

Thank you!

- Luigi0210

Btw you can always use the quadratic formula

- anonymous

It just doesn't make much sense to me):

- anonymous

Alright- First step is quadratic formula. Have you heard of this?

- anonymous

yup!

- anonymous

We want to make a box that looks like the following:

- Luigi0210

You can factor without it though @Lagoonabarbie

- anonymous

I just don't get how I can find the two numbers using the quadratic formula... not the best at math, sorry

- anonymous

Okay. Since quadratic formula is very important to know, I will show you it that way. Just stay on this chat it might take a few minutes to show you the steps for this problem.

- anonymous

ok...

- anonymous

First, you need to use the two numbers- They are 3, (Which I get from 3m^2), and -4, which I get from the last part of the equation. We are going to be using -12, (The product of -4 and 3)

- anonymous

use those numbers for what?

- anonymous

I'm sorry. We want to use 11. Not 4.

- anonymous

I'm drawing it. One minute! :)

- anonymous

So- How can we get two of the same numbers that multiply to 33, and add to 11?

- anonymous

|dw:1377733470820:dw|

- anonymous

The 33 comes from the 3 (in the 3m^2), and the 11 comes from the (11x)

- anonymous

I tried to solve it and I just couldn't do the formula, my calculator said error...

- anonymous

oh ok, i see what youre doing

- anonymous

|dw:1377733505411:dw|

- anonymous

but why 33?

- anonymous

Under the 33, you want to find two numbers that multiply to 33, AND the same numbers have to ADD to 11.

- anonymous

33 comes from

- anonymous

3 x 11

- anonymous

comes from the 3, yeah but why times 11?

- anonymous

|dw:1377733600048:dw|

- anonymous

That is just the way you solve the problem :)

- anonymous

|dw:1377733648841:dw|

- anonymous

so a times b?

- anonymous

So- Looking back on the picture I just posted, can you find two of the same numbers that multiply to 33, and add to 11?

- anonymous

And- Correct. A x B. Exactly

- anonymous

no, i cant figure it out...

- anonymous

Exactly! That means, there is no solution! It is impossible.

- anonymous

so it's trying to trick me or something?

- anonymous

Nope! A lot of times in math they throw in those 'No Solution' problems.

- anonymous

Let me check my work before you close the problem..

- anonymous

So do I just say "no solution"?

- anonymous

and ok

- anonymous

Don't write it yet.

- anonymous

The math in one of the steps is incorrect. I will upload a picture of my new work in one moment.

- anonymous

but does the answer stay the same?

- anonymous

Not quite.

- anonymous

There will be an answer, actually. It will look something like: (3x-2)^2

- anonymous

huh...?

- anonymous

calculator says "no solution" ...

- anonymous

I'm sorry. The answer is no solution. Sorry to keep you waiting. I just had to double check. :) Good luck!!

- anonymous

no worries, thank you for helping me!

- anonymous

Sure!

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