- #1
nmego12345
- 21
- 0
At the beginning of the summer, I was studying a precalculus course, in which I was taught that whenever a polynomial equation has a root in the form a + sqrt(b)c or a + ib, then another root would be its conjugate, I took it for granted for that time and I thought it was intuitive.
Later on, now, summer ended, I have grown much more familiar with mathematics, was revisiting that course and tried to prove that
But I soon discovered that this theory is false
For example we may have
This is a polynomial : (x-2)(x+1-sqrt(3) = 0
While playing around I discovered that this theory works only if the coefficients of the polynomial expression are rational, yeah irrationals doesn't wiorkNothing wrong with it, but I just disproved a theorem written in a good math course, so I wonder was I right or not
Later on, now, summer ended, I have grown much more familiar with mathematics, was revisiting that course and tried to prove that
But I soon discovered that this theory is false
For example we may have
This is a polynomial : (x-2)(x+1-sqrt(3) = 0
While playing around I discovered that this theory works only if the coefficients of the polynomial expression are rational, yeah irrationals doesn't wiorkNothing wrong with it, but I just disproved a theorem written in a good math course, so I wonder was I right or not