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?

Verified Answer :

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 \(ax^2 + bx + c=0\) is -16.

We know that,

If in a quadratic equation,

\(D>0\), the equation have real and distinct roots.

\(D=0\), the equation have real and equal roots.

\(D<0\), the equation have no real roots.

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

Thus, the quadratic equation have no real roots.