-
This is a reminder of 3 IMPORTANT RULES:
1- External self-promotion websites or apps are NOT allowed here, like Discord/Twitter/Patreon/etc.
2- Do NOT post in other languages. English-only.
3- Crack/Warez/Piracy talk is NOT allowed.
Breaking any of the above rules will result in your messages being deleted and you will be banned upon repetition.
Please, stop by this thread SoccerGaming Forum Rules And Guidelines and make sure you read and understand our policies.
Thank you!
"1" equals "2"
- Thread starter Hans
- Start date
ShiftyPowers
Make America Great Again
Originally posted by Lee86
damn.. what's that maths geek's conference!?!? my head aches!!
If we're math geeks for knowing simple algebra, you might as well just live in a cave without anything invented after 650 BC.
manutd4eva
Fan Favourite
x(squared) + 3x + 2
x = 1*1
2 = 2* 1
So:
2 * 1 = 2 and
1 * 1 = 1
Then 2 + 1 = 3 =b
So the result is: (x + 1) (x + 2)
x = 1*1
2 = 2* 1
So:
2 * 1 = 2 and
1 * 1 = 1
Then 2 + 1 = 3 =b
So the result is: (x + 1) (x + 2)
ShiftyPowers
Make America Great Again
No, that's the confusing way, but I'll use the same example.
x^2 + 3x + 2
now since it's x^2 you know right away that it's going to be (x ____) (x ___), no 2's in there or anything.
Then you know that the last two numbers have to equal 2 when multiplied. You know this because the only multiplication in the FOIL that will equal something without "x", is the two "____"s.
In addition, you know that you're going to have one of the x's times the opposite "____" and the other x times the other "____", so basically since there are no coeficients you know it's essentially going to be "____" + "____", because you get two numbers that can be added together.
So you need two numbers that add up to 3 and multiply to 2. There's only one combination, and it's 2 and 1. Both numbers positive because -1 and -2 added together = -3. And no negative x's because of the same reason. You can technically have the factoring be (-x-2)(-x-1), but if you factor out a -1 out of each of those, they multiply to 1. Therefore the answer is (x+2)(x+1).
Basically if you look at a basic quadratic equation as AX^2+BX+C, you need two numbers that add up to B and multiply to C. If A is anything other than 1, then what you do is factor out that number. So if you have something like 2x^2+6x+4 then factor out a 2 and make it 2(x^2+3x+2), and then factor like normal, so it's 2(x+2)(x+1). And if you want to put the 2 back in, (2x+4)(x+1) or (2x+2)(x+2) are also acceptable.
Takes a lot to get factoring down for the first time, but once you get it, it's simple.
x^2 + 3x + 2
now since it's x^2 you know right away that it's going to be (x ____) (x ___), no 2's in there or anything.
Then you know that the last two numbers have to equal 2 when multiplied. You know this because the only multiplication in the FOIL that will equal something without "x", is the two "____"s.
In addition, you know that you're going to have one of the x's times the opposite "____" and the other x times the other "____", so basically since there are no coeficients you know it's essentially going to be "____" + "____", because you get two numbers that can be added together.
So you need two numbers that add up to 3 and multiply to 2. There's only one combination, and it's 2 and 1. Both numbers positive because -1 and -2 added together = -3. And no negative x's because of the same reason. You can technically have the factoring be (-x-2)(-x-1), but if you factor out a -1 out of each of those, they multiply to 1. Therefore the answer is (x+2)(x+1).
Basically if you look at a basic quadratic equation as AX^2+BX+C, you need two numbers that add up to B and multiply to C. If A is anything other than 1, then what you do is factor out that number. So if you have something like 2x^2+6x+4 then factor out a 2 and make it 2(x^2+3x+2), and then factor like normal, so it's 2(x+2)(x+1). And if you want to put the 2 back in, (2x+4)(x+1) or (2x+2)(x+2) are also acceptable.
Takes a lot to get factoring down for the first time, but once you get it, it's simple.
italianstyle87
Starting XI
i used to do it that way ShiftyPowers
now i use my calculator to do it for me
now i use my calculator to do it for me
It's because I don't pay attention. I just put my head down and listen to my iPod
But yeah, it's not hard. And I experiended the same thing. My Algebra I teacher (9th grade) explained it and I never got it. The Algebra II teacher I have now used the middle number to explain it and it's easy
manutd4eva
Fan Favourite
It's the same principle, but you just explained it more.
It took me two years to finally understand factoring, though.
Maths could solve anything, here is an example
A mother has 21 years more than his son, and in 6 years the kid will be five times younger than her age
Where's his father?
Analyzing
The kid has now X years old and his mom Y years old, also we know that his mother has 21 more years than him, so
X + 21 = Y
We know that in six years the kid will be five times younger than her age, so we now have
5 (X+ 6) = Y + 6
Now we replace Y with X + 21 and start calculating
5 (X + 6) = X + 21 + 6
5X + 30 = X + 27
5X - X = 27 - 30
4X = -3
X = -3/4
The kid is now -3/4 years old, that's equal to -9 months
By Maths, we discovered that someone is fücking the mother
Solution: The father is on his mother
A mother has 21 years more than his son, and in 6 years the kid will be five times younger than her age
Where's his father?
Analyzing
The kid has now X years old and his mom Y years old, also we know that his mother has 21 more years than him, so
X + 21 = Y
We know that in six years the kid will be five times younger than her age, so we now have
5 (X+ 6) = Y + 6
Now we replace Y with X + 21 and start calculating
5 (X + 6) = X + 21 + 6
5X + 30 = X + 27
5X - X = 27 - 30
4X = -3
X = -3/4
The kid is now -3/4 years old, that's equal to -9 months
By Maths, we discovered that someone is fücking the mother
Solution: The father is on his mother
Originally posted by NIDOKING
Maths could solve anything, here is an example
A mother has 21 years more than his son, and in 6 years the kid will be five times younger than her age
Where's his father?
Analyzing
The kid has now X years old and his mom Y years old, also we know that his mother has 21 more years than him, so
X + 21 = Y
We know that in six years the kid will be five times younger than her age, so we now have
5 (X+ 6) = Y + 6
Now we replace Y with X + 21 and start calculating
5 (X + 6) = X + 21 + 6
5X + 30 = X + 27
5X - X = 27 - 30
4X = -3
X = -3/4
The kid is now -3/4 years old, that's equal to -9 months
By Maths, we discovered that someone is fücking the mother
Solution: The father is on his mother
I gotta show that one to ma precal teacher, he'll love it
How `bout this :
According to calculus :
ln(l+x) = x-(1/2)x^2 + (1/3)x^2 - (1/4)X^2+. . .
for -1<x<=1
Subsitute the x`s in the first formula with "1" so we get :
ln2 = 1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+. . .
and then :
2 X ln2 = 2 X (1-1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10+. . .)
So we`ll get :
2ln2 = 2-1+2/3-1/2+2/5-1/3+2/7-1/4+2/9-1/5+...
Or it can be written :
2ln2=(2-1)-1/2+(2/3-1/3)-1/4+(2/5-1/5)- . . .
2ln2= 1-1/2+1/3-1/4+1/5-. . . ( which is equals ln2 from above )
So :
2ln2=ln2
Divide both columns with ln2, we`ll get :
2=1
According to calculus :
ln(l+x) = x-(1/2)x^2 + (1/3)x^2 - (1/4)X^2+. . .
for -1<x<=1
Subsitute the x`s in the first formula with "1" so we get :
ln2 = 1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+. . .
and then :
2 X ln2 = 2 X (1-1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10+. . .)
So we`ll get :
2ln2 = 2-1+2/3-1/2+2/5-1/3+2/7-1/4+2/9-1/5+...
Or it can be written :
2ln2=(2-1)-1/2+(2/3-1/3)-1/4+(2/5-1/5)- . . .
2ln2= 1-1/2+1/3-1/4+1/5-. . . ( which is equals ln2 from above )
So :
2ln2=ln2
Divide both columns with ln2, we`ll get :
2=1
Originally posted by NIDOKING
Maths could solve anything, here is an example
A mother has 21 years more than his son, and in 6 years the kid will be five times younger than her age
Where's his father?
Analyzing
The kid has now X years old and his mom Y years old, also we know that his mother has 21 more years than him, so
X + 21 = Y
We know that in six years the kid will be five times younger than her age, so we now have
5 (X+ 6) = Y + 6
Now we replace Y with X + 21 and start calculating
5 (X + 6) = X + 21 + 6
5X + 30 = X + 27
5X - X = 27 - 30
4X = -3
X = -3/4
The kid is now -3/4 years old, that's equal to -9 months
By Maths, we discovered that someone is fücking the mother
Solution: The father is on his mother
haha great
ShiftyPowers
Make America Great Again
Originally posted by jatin
U cant cancel (x-1) from both sides unless its non-zero..i.e-X!=1
Yes, I think we've sufficiently covered that in the previous 36 posts, but thanks anyway Jatin.