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Complete the square: 4x^2+ 5x +2
 

waffles  Nov 8, 2017
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 4x^2+ 5x +2    factor out the 4

 

4 ( x^2  +  (5/4)x  + 2/4)

 

Take  (1/2)  of (5/4)  = 5/8......square it  = 25/64...add it and subtract it

 

4 ( x^2 + (5/4)x + 25/64  +  2/4 -  25/64 )

 

Factor the first three terms in the parentheses and simplify

 

4 [ ( x + 5/8)^2  +  32/64  - 25/64 ]

 

4 [ ( x + 5/8)^3  +  7 / 64]

 

4 ( x + 5/8)^2 +  7/16

 

 

cool cool cool

CPhill  Nov 8, 2017

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