contestada

true or false if the discriminant of a quadratic equation is positive, then the equation has two solutions that are negatives of one another

Respuesta :

Using quadratic function concepts, it is found that the statement is false.

What is a quadratic function?

  • A quadratic function is modeled by:

[tex]f(x) = ax^2 + bx + c[/tex]

The discriminant is:

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

  • If [tex]\mathbf{\Delta > 0}[/tex], the equation has two distinct real roots.
  • If [tex]\mathbf{\Delta = 0}[/tex], the equation one real root.
  • If [tex]\mathbf{\Delta < 0}[/tex], the equation has no real roots.

Additionally, it will have two solutions that are negatives of one another when coefficient b is 0, as:

[tex]ax^2 + c = 0[/tex]

[tex]ax^2 = -c[/tex]

[tex]x^2 = -\frac{c}{a}[/tex]

[tex]x = \pm \sqrt{-\frac{c}{a}}[/tex]

Hence it is not related to the discriminant, and the statement is false.

You can learn more about quadratic function concepts at https://brainly.com/question/19776811

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas