Question

write down the roots of quadratic equation ax²+bx+c=0.If a+b+c=0,what are the roots of the equation ax²+bx+c=0?​

Answer 1

$\sf\small\purple{Answer:}$

you can rewrite the equation as:

a|x|^2+b|x|+c = 0

Let |x| = y, so the above equation becomes: a*y^2+b*y+c = 0

Now the maximum number of distinct roots that the above quadratic equation can have is 2, now for each root say |x|=y=y1, y2, there will be total of 2 values of x, when y1 or y2 are non-zero.

So number of roots can vary from 0 to 4.