#solving quadratics by completing the square
3 messages · Page 1 of 1 (latest)
Well, we know that a^2 + 2ab + b^2 = (a + b)^2. So, we try to construct that formula.
x^2 - 8x + 6 = (x^2 - 8x) + 6 = (x^2 - 2*4x) + 6
Since we have x^2 and -2*4x, the third term should be 4^2. So, we add and subtract it.
(x^2 - 2*4x) + 6 = (x^2 - 2*4x + 4^2) + 6 - 4^2 = (x - 4)^2 + 6 - 16 = (x - 4)^2 - 10
thannk you sooo much!! :)