Answered

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PLEASE HELP

If the discriminant of an equation is zero, which of the following is true of the equation?


A. It has one complex solution

B. It has two complex solutions

C. It has one real solutions

D. It has two real solutions

PLEASE HELPIf The Discriminant Of An Equation Is Zero Which Of The Following Is True Of The Equation A It Has One Complex Solution B It Has Two Complex Solution class=

Sagot :

Considering the discriminant of zero for a quadratic equation, the correct option is given by:

C. It has one real solutions.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

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

The discriminant is:

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

The solutions are as follows:

  • If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.
  • If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.
  • If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.
  • If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.

Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.

More can be learned about discriminants at https://brainly.com/question/19776811

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