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Update Unit 3: Solving Equations and Inequalities.md
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1. Isolation
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1. Isolation
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- $`a(x+b)^2 + k = 0`$
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- $`a(x+b)^2 + k = 0`$
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2. Factor using zero-product property
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2. Factor using zero-product property
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- ```The Zero Factor Property``` refers to when a×b=0, then either a=0 or b=0.
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- ```The Zero Factor Property``` refers to when $`a \times b=0`$, then either $`a=0`$ or $`b=0`$.
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- $`(x-a)(x-b)=0`$
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- $`(x-a)(x-b)=0`$
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- $`x = a, b`$
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- $`x = a, b`$
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- <img src="http://www.assignmentpoint.com/wp-content/uploads/2017/12/Quadratic-Expression-1.jpg" width="400">
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- <img src="http://www.assignmentpoint.com/wp-content/uploads/2017/12/Quadratic-Expression-1.jpg" width="400">
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**Note:**
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**Note:**
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- √x<sup>2</sup> = ± x (There are 2 possible solutions)
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- $`\sqrt{x^2} = \plusmn x`$ (There are 2 possible solutions)
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- ```Distrubutive Property``` - This is opening the bracket. a(x+y) = ax+ay
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- ```Distrubutive Property``` - This is opening the bracket. $`a(x+y) = ax+ay`$
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## Tips
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## Tips
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- ```Absolute Values``` can have 2 solutions
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- ```Absolute Values``` can have 2 solutions
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