Question

If you get 2 imaginary answers when using the quadratic formula, how does this relate to how many times (0, 1 or 2) a quadratic graph touches/crosses the x-axis?

Answer 1

Answer:Roots of a number indicates value where function will be zero. If an equation let's say

y = f(x) = x^2 -3x + 2 has two roots x = 1 and x =2 . Now if you will draw the graph, line will cross x-axis at 1 and 2 indicating y will become zero at 1 and 2. But if any equation has imaginary roots implies y will be never be zero for any real value of x and as we do not show imaginary number on a Cartesian plane we cannot make y =0 hence graph will never touch x-axis.

Explanation: