+143 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?
Found the root: \(x = 3 ± i √ 57\) . Don't understand how to move on with this.
+128460 11x^2 -44x - 99 = 0 divide through by 11
x^2 - 4x - 9 = 0 add 9 to both sides
x^2 - 4x = 9 take 1/2 of 4 = 2....square it = 4....add to both sides
x^2 - 4x + 4 = 9 + 4 factor the left.....simplify the right
(x - 2)^2 = 13
( x + -2)^2 = 13
r = -2 s = 13
So... r + s = 11
