Question

Does anyone know whow to find wich of the graphs of these equations has no x-intercepts?

a)6x^2+2x-5=0
b)4x^2-3x+1=0
c)4x^2-7x+3=0
d)x^2+8x-3

The answer is b, but I don't know how to find it

Answer 1

The one whose discriminant is negative indicating 2 complex roots

Answer 2

wait, I-I don't understand what u mean
cause you please dumb it down for me? sorry

Answer 3

The discriminant tells you the nature of the roots of a quadratic equation. The roots are the x intercepts.
The discriminant is b^2-4ac.
If it is 0, there is 1 real root and therefore 1 x intercept
If it is positive, there are 2 real roots and therefore 2 x intercepts
It it is negative, there are no real roots and therefore 0 x intercepts

Answer 4

wait how u know if it's negeative? use the quadratic equation to find the roots?