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If we express $3x^2 + x - 4$ in the form $a(x - h)^2 + k$, then what is $k$?​

 May 4, 2018
 #1
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3x^2  + x  - 4

 

3(x^2 + (1/3)x  - 4/3)       complete the square on x

 

Take 1/2  of (1/3)  =   1/6

 

Square this.....=  1/36......add and subtract it within the parentheses

 

3(x^2  + (1/3)x + 1/36  - 4/3 - 1/36 )

 

3  [ (x + 1/6)^2   -  48/36 - 1/36]

 

3 [ (x + 1/6)^2  -  49/36 ]

 

3(x + 1/6)^2  - 49/12

 

So......k  =  -49/12

 

 

 

cool cool cool

 May 4, 2018

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