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Krzysztof solved the quadratic equation 11x^2+44x-99=0 by completing the square. In the process, he came up with the equivalent equation (x+r)^2 = s,where r and s are constants.What is r+s.

 Jun 3, 2022
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Krzysztof solved the quadratic equation 11x^2+44x-99=0 by completing the square. In the process, he came up with the equivalent equation (x+r)^2 = s,where r and s are constants.What is r+s.  

 

                                         11x2 + 44x + 99  =  0 

 

Divide both sides by 11        x2 + 4x + 9  =  0 

 

Add –5 to both sides            x2 + 4x + 4  =  –5 

 

Factor left side                        (x + 2)2  =  –5 

 

                                                r = 2    s = –5

 

                                               2 + (–5)  =  –3 

 Jun 3, 2022

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