Hi fellow math lovers,
So I was making my some math problems, and suddenly.. BOOM, a problem which seems intractable.
Now it might be that I do not understand some rule or the full extent of a certain rule. In any event.. I hope you can help me understand the reasoning behind parts of the following 2 problems; see below.
(The problems are fully solved for, so just to be sure, I'm not trying to get copy and paste answers. I just don't know why these operations work.) Oh! and I hope you can read my handwriting
The first problem:
What I don't understand here is, first of all, why the second (minus square root) B is not included in the next (second) step? What happens to it and why?
From there, as you see, I have tried to decipher it as far as I can, noticing that the -1 in the second step comes from the (minus square root) B. The other stuff I completely understand, just that damned (minus square root) B!
The second problem:
What I don't understand with this one is why you are allowed to turn both fractions upside down, doesn't this change the value?
I'm solving for y here (obviously). You can see that I fully understand that after that particular step the 4 under y goes away through multiplication. So yeah.. maybe someone can show me why you can turn a fraction upside down with a simpler example?
Thanks a lot! If the pictures need to be bigger, command, and it will be so.
Greetings,
Alfonso Copernicosis.
So I was making my some math problems, and suddenly.. BOOM, a problem which seems intractable.
Now it might be that I do not understand some rule or the full extent of a certain rule. In any event.. I hope you can help me understand the reasoning behind parts of the following 2 problems; see below.
(The problems are fully solved for, so just to be sure, I'm not trying to get copy and paste answers. I just don't know why these operations work.) Oh! and I hope you can read my handwriting
The first problem:
What I don't understand here is, first of all, why the second (minus square root) B is not included in the next (second) step? What happens to it and why?
From there, as you see, I have tried to decipher it as far as I can, noticing that the -1 in the second step comes from the (minus square root) B. The other stuff I completely understand, just that damned (minus square root) B!
The second problem:
What I don't understand with this one is why you are allowed to turn both fractions upside down, doesn't this change the value?
I'm solving for y here (obviously). You can see that I fully understand that after that particular step the 4 under y goes away through multiplication. So yeah.. maybe someone can show me why you can turn a fraction upside down with a simpler example?
Thanks a lot! If the pictures need to be bigger, command, and it will be so.
Greetings,
Alfonso Copernicosis.
