I have this function Y=(X^2+2)/(x-1)
and get this Y`=2x(x-1)-(x^2+2)/( x-1)^2.
When I simplify to quadratic form I don’t get….x=1-sqrt3,1+sqrt3
Can anyone help?
As chip588 has stated above, you end up with
$\displaystyle x^2-2x-2=0$
This is a quadratic equation of the form $\displaystyle ax^2+bx+c=0$
where, $\displaystyle a = 1$
$\displaystyle b = -2$
$\displaystyle c= -2$
solve for x with this formula
$\displaystyle x = \frac {-b \pm \sqrt{b^{2}-4ac}}{2a}$
With this formula, you will get the answer you are looking for. Give it a shot!