Answered

How many and what type of solutions does 5x^2-2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solution

Answer :

MHANIFAGO

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.

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