Alex Shepherd

20-11-09, 22:57

I was trying to post something hard question for the math thead, and now I found this.

x=0

(find x)

x=0

--> x (x-1) = 0 (Because when you multiply, you will get the same result is equal to zero, as for x multiply by x and then by -1 will get x-x which is equal to zero)

--> x-1 = 0 (Is when you define the two x with two different numbers)

--> x = 1 (When it comes to the different side, it sign will change)

So as a result

x=0

x(x-1) = 0

x-1 = 0

x= 1

1 = 0 (Is that possible?)

Another example

http://upload.wikimedia.org/math/b/e/c/bece7a4ff69a1ca64899e8693b697dc3.png

1. Let a and b be equal non-zero quantities

http://upload.wikimedia.org/math/9/4/7/947fc392e1843e655a04e4ccedbf8146.png

2. Multiply through by a

http://upload.wikimedia.org/math/0/4/a/04ae6e1f708633c55b0f2910229c8218.png

3. Subtract

http://upload.wikimedia.org/math/0/d/a/0da776c891aae2ddcea10de4168e80d7.png

4. Factor both sides

http://upload.wikimedia.org/math/f/3/a/f3ab9270d9c7c080e69391947e4d9f0a.png

5. Divide out

http://upload.wikimedia.org/math/8/e/6/8e629bc66a8fd064dadff7e31fb9ab0d.png

6. Observing that

http://upload.wikimedia.org/math/d/a/c/dac22e850802fe51e4e3c55b41a1cbc8.png

7. Combine like terms on the left

http://upload.wikimedia.org/math/3/7/d/37d0811a86406b970245d48f50015ec0.png

8. Divide by the non-zero b

http://upload.wikimedia.org/math/8/f/7/8f747d1e8bf6521547fe9fe7f8a5d45a.png

Hows that possible?

Raider Man

x=0

(find x)

x=0

--> x (x-1) = 0 (Because when you multiply, you will get the same result is equal to zero, as for x multiply by x and then by -1 will get x-x which is equal to zero)

--> x-1 = 0 (Is when you define the two x with two different numbers)

--> x = 1 (When it comes to the different side, it sign will change)

So as a result

x=0

x(x-1) = 0

x-1 = 0

x= 1

1 = 0 (Is that possible?)

Another example

http://upload.wikimedia.org/math/b/e/c/bece7a4ff69a1ca64899e8693b697dc3.png

1. Let a and b be equal non-zero quantities

http://upload.wikimedia.org/math/9/4/7/947fc392e1843e655a04e4ccedbf8146.png

2. Multiply through by a

http://upload.wikimedia.org/math/0/4/a/04ae6e1f708633c55b0f2910229c8218.png

3. Subtract

http://upload.wikimedia.org/math/0/d/a/0da776c891aae2ddcea10de4168e80d7.png

4. Factor both sides

http://upload.wikimedia.org/math/f/3/a/f3ab9270d9c7c080e69391947e4d9f0a.png

5. Divide out

http://upload.wikimedia.org/math/8/e/6/8e629bc66a8fd064dadff7e31fb9ab0d.png

6. Observing that

http://upload.wikimedia.org/math/d/a/c/dac22e850802fe51e4e3c55b41a1cbc8.png

7. Combine like terms on the left

http://upload.wikimedia.org/math/3/7/d/37d0811a86406b970245d48f50015ec0.png

8. Divide by the non-zero b

http://upload.wikimedia.org/math/8/f/7/8f747d1e8bf6521547fe9fe7f8a5d45a.png

Hows that possible?

Raider Man