Question

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 1

• D) 2 nonreal solution

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:

• 
  `D= b^2-4ac`
• 
  `D = (-2)^2-4*5*6 =4-120 =-116`

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

Correct answer choice is D.