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.
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