👤

Answer :

Answer:

  • D) 2 nonreal solution

Step-by-step explanation:

Given

Quadratic trinomial

  • 5x² - 2x + 6

In order to determine what kind of roots it has, we need to find the value of the discriminant:

  • [tex]D= b^2-4ac[/tex]
  • [tex]D = (-2)^2-4*5*6 =4-120 =-116[/tex]

Since the discriminant is negative, its square root is an imaginary number, hence there is no real solution.

Correct answer choice is D.