Question

How can you tell when a quadratic equation has no real solutions?

Answer 1

if it doesn't intersect with x-axis

Explanation:

if the eqn is in the form of ax^2 +bx + c,

and if b^2 - 4ac <0 then it has no real solution

Answer 2

if the discriminant is less than 0 it has no real solution.

Explanation:

You can look at the graph and if the parabola does not cross or intersect on the x axis it has no real solution