Question 294183
Yes it is!
For example:
{{{highlight(x^2+x-12)}}} and
{{{highlight_green(-x^2-x+12)}}} both have the same roots.
{{{x = 3}}} and {{{x = -4}}}
Look at the graph of these two quadratic equations:
{{{graph(400,400,-5,5,-15,15,x^2+x-12,-(x^2+x-12))}}}
For any quadratic equation that has "real" roots, its "negative" will have the same roots.