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What constant is added to the RIGHT side of the quadratic equation 2x2 - 5x + ___ = 12 + ___ in order to solve by completing the square?

 Jan 30, 2017
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2x^2  - 5x - 12  = 0   factor out 2

 

2 [x ^2 - (5/2)x - 6]  = 0           divide by 2

 

x^2 - (5/2)x - 6  = 0        add 6 to both sides

 

x^2  - (5/2)x  = 6 

      

Take (1/2) of (5/2) = (5/4)  ....square this   =  25/16....add to both sides

 

x^2 - (5/2)x + 25/16  = 6 + 25/16         mutliply back by 2

 

2x^2 - 5x + 25/8  = 12  + 25/8

 

 

cool cool cool

 Jan 30, 2017

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