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Different Types of Solutions for Equations 7268 Views
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Transcript
- 00:09
Equations come in all different shapes and sizes,
- 00:11
no matter how much they try sticking to their diets.
- 00:16
Some equations have no solutions.
- 00:18
These are called contradictions.
- 00:21
No they're not. Yes, they are.
Full Transcript
- 00:25
For instance, the equation X + 1 = X + 5
- 00:29
would be a contradiction
- 00:31
because no value of X will make that equation true.
- 00:36
It would be like saying a zebra is the same thing as a lion.
- 00:42
There can also be equations with infinite solutions, which are called identities.
- 00:47
Anything you plug into these equations will make the equation true.
- 00:50
The equation 2 X + 1 = 2X + 1 is an identity
- 00:54
because it'll always be true for any value of X.
- 00:58
It's like a mirror. Anything placed in front of the mirror will be reflected back.
- 01:04
Conditional equations have a limited number of solutions.
- 01:08
These guys are only true when certain values are plugged in.
- 01:11
The equation 2X = 6 is limited
- 01:13
because it'll only work when X is 3.
- 01:16
No other value will make the equation true.
- 01:23
It'd be like saying only zebras are acceptable for tourists, and no other animals.
- 01:28
The important thing is to find out what type of equation you're facing.
- 01:32
Otherwise, you might get into some trouble.
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