I know this must be stupid question, but I was wondering why cannot a quadratic or any polynomial equation be in format of $$x=ay^2+by+c$$
and to find roots we set $x=0$.
In short, can the $y$ intercepts also be roots of quadratic equation?
I searched online and found that $y$ is imaginary and $x$ is real axis but I couldn't understand why polynomial equation when intercept $y$-axis and is solution to equation.
Quadratic and polynomial equations CAN be written in terms of y rather than x. However, it is convention that we use x as the independent variable and y as the dependent one. thats why we always see $$y=ax^2+bx+c$$ rather than $$x=ay^2+by+c$$