Question

Check my work?

5x^2 +10x -30 = 0

Should be two distinct real roots or zeros?

Answer 1

You can check with the discriminant \[b^2-4ac\]
where your equation is the form \[ax^2+bx+c=0\]

Answer 2

So the discriminant = -500?

So no real solutions?

Answer 3

Yes ,if the discriminant is a negative value,then the expression has no real solutions.