- #1
japam
- 39
- 0
Suppose 2 cuadratic functions: ax^2+bx+c, dx^2+ex+f. Suppose that the first one is upside with its minimum above the x line reference, and the second one is downside with its maximum above the x reference, and suppose that the two functions intersect at two points that pass through straight line gx+h.
My question is
¿could the maximum of (dx^2+ex+f)/(ax^2+bx+c), be splitted as the
max( (dx^2+ex+f)/(gx+h))*max((gx+h)/(ax^2+bx+c))?
I don't know how to put drawings here, but i hope the argument has been clear to understand
I was tryng some numeric examples in my pc and the result was positive, but i don't know what is the general proof. Thanks for your comments
My question is
¿could the maximum of (dx^2+ex+f)/(ax^2+bx+c), be splitted as the
max( (dx^2+ex+f)/(gx+h))*max((gx+h)/(ax^2+bx+c))?
I don't know how to put drawings here, but i hope the argument has been clear to understand
I was tryng some numeric examples in my pc and the result was positive, but i don't know what is the general proof. Thanks for your comments