Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

mhanifa

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.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.