Respuesta :

Answer:

Option C and D

Step-by-step explanation:

For a quadratic function having no x-intercepts the discriminant should be less than 0 .

[tex]D=b^2-4ac[/tex]

Now if this is less than zero if we plug in the values of a, b and c the square root of a negative number cannot be calculated thus giving us no real x-intercepts.

[tex]x=-b+-\frac{\sqrt{b^2-4ac} }{2a} \\\\x=-b+-\frac{\sqrt{D} }{2a}[/tex]

Here we can see that if we the value of D is less than zero the square would not be possible thus our correct choices are ,

Option C and D