A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equation have?

Respuesta :

so because the discriminant is less than zero so this mean that the quadratic has no real solutions 

Answer:

The quadratic equation have no real roots.

Step-by-step explanation:

We are given that,

The discriminant of the quadratic equation [tex]ax^2 + bx + c=0[/tex] is -16.

We know that,

If in a quadratic equation,

[tex]D>0[/tex], the equation have real and distinct roots.

[tex]D=0[/tex], the equation have real and equal roots.

[tex]D<0[/tex], the equation have no real roots.

Since, the discriminant of the equation is -16 < 0.

Thus, the quadratic equation have no real roots.