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1. If the discriminant of a quadratic equation is zero, what do you know about the type and number of roots of the quadratic equation?

A. The quadratic equation has one real number root.

B. The quadratic equation has one imaginary and one real number root.

C. The quadratic equation has two imaginary number roots.

D. The quadratic equation has two distinct real number roots.

Respuesta :

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Answer:

C

Step-by-step explanation:

Using the concept of the discriminant of a quadratic equation, the correct option is:

A. The quadratic equation has one real number root.

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A quadratic equation is given by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

  • If the discriminant is positive, that is, [tex]\mathbf{\Delta > 0}[/tex], the equation has two distinct real roots.
  • If the discriminant is zero, that is, [tex]\mathbf{\Delta = 0}[/tex], the equation has two equal real roots, which is also considered one real root.
  • If the discriminant is negative, that is, [tex]\mathbf{\Delta < 0}[/tex], the square root of a negative number will be calculated, and thus, the equation has two imaginary number roots.
  • In this question, [tex]\Delta = 0[/tex], thus, one real root, option A.

A similar problem is given at https://brainly.com/question/2288755

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