Ok, I'll have a bunch of challenging questions from the AMC (Australian Mathematical Competition) I did today. I'll post one at a time so as not to confuse the posters and myself. The questions I suppose will be of ascending difficulty, those which I wasn't able to solve.
1. There's a given equation; . There was a sketch along, that of an inverted parabola, which had a positive y-intercept and the turning point was on the y-axis.
Which is true?
a) a + b + c = 0
b) a + b - c < 0
c) -a + b - c > 0
d) a + b + c < 0
e) There is not enough information.
I ruled out a) and d), since there is a solution other than 0 when putting x = 1.
The others, I'm at a lost.
Thanks for replying :)
Survivorboi, want to make an attempt? I'm sure you'll be interested too to know how to solve the problems I'll post ;)