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.

Guest Jun 3, 2022

#1**+1 **

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.

11x^{2} + 44x + 99 = 0

Divide both sides by 11 x^{2} + 4x + 9 = 0

Add –5 to both sides x^{2} + 4x + 4 = –5

Factor left side (x + 2)^{2} = –5

r = 2 s = –5

2 + (–5) = **–3**

Guest Jun 3, 2022