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The quadratic x^2-3x+1 can be written in the form ,(x+b)^2+c where b and c are constants. What is b+c?

 Jun 26, 2020
 #1
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If you complete the square on  x2 - 3x

                                                 x2 - 3x + 9/4                 (divide -3 by 2 and square the result)

                                                 ( x - 3/2 )2

 

So:  x2 - 3x + 1  =  ( x2 - 3x ) + 1

                          =  ( x2 - 3x + 9/4 ) + 1 - 9/4                 (if you add 9/4 to a side, you must also subtract it)

                          =  ( x - 3/2 )2 - 5/4

 

Left for you to finish ...

 Jun 26, 2020
 #2
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-11/4!

 

Thank you so much!

 Jun 26, 2020

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