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Update Unit 3: Solving Equations and Inequalities.md

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James Su 2019-09-04 23:30:14 +00:00
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1. Isolation 1. Isolation
- $`a(x+b)^2 + k = 0`$ - $`a(x+b)^2 + k = 0`$
2. Factor using zero-product property 2. Factor using zero-product property
- ```The Zero Factor Property``` refers to when a×b=0, then either a=0 or b=0. - ```The Zero Factor Property``` refers to when $`a \times b=0`$, then either $`a=0`$ or $`b=0`$.
- $`(x-a)(x-b)=0`$ - $`(x-a)(x-b)=0`$
- $`x = a, b`$ - $`x = a, b`$
- <img src="http://www.assignmentpoint.com/wp-content/uploads/2017/12/Quadratic-Expression-1.jpg" width="400"> - <img src="http://www.assignmentpoint.com/wp-content/uploads/2017/12/Quadratic-Expression-1.jpg" width="400">
**Note:** **Note:**
- &radic;x<sup>2</sup> = &plusmn; x (There are 2 possible solutions) - $`\sqrt{x^2} = \plusmn x`$ (There are 2 possible solutions)
- ```Distrubutive Property``` - This is opening the bracket. a(x+y) = ax+ay - ```Distrubutive Property``` - This is opening the bracket. $`a(x+y) = ax+ay`$
## Tips ## Tips
- ```Absolute Values``` can have 2 solutions - ```Absolute Values``` can have 2 solutions