Not exactly homework, but this is a problem that a guy posed me.. and we seem to be getting different answers. I'm not entirely sure where either of us is going wrong.
Homework Statement
A uniform rod of mass M and length L lies on the x-axis, with its ends at x = 0 and x = L. A varying...
it's kind of ambigously mentioned in the book, so I'll talk to my teacher about it.., thanks for pointing that out :)
So a perfect square number would have to be the square of an integer, but that is not needed for an expression.. ?
Also.. I guess D = 0 is still a necessary condition
Since...
hm..
2x2+4x+2=[\sqrt{2}(x+1)]2
and since \sqrt{2} isn't an integer, the expression isn't a perfect square...
so that does imply that when D = 0, and coefficient of x2 is a perfect square, we can conclude that the entire quadratic will be one.. ?
Homework Statement
What is the condition, for a quadratic function of the form
ax2 + bx + c = y
to be a perfect square? (x, y are real here)
There's a question of this type in a book I'm working with, and I'd just like to have some general conditions for any quadratic...
The Attempt...