Use the discriminant to determine the number and type of sol

Use the discriminant to determine the number and type of solutions for the given equation. x^2 + 4x + 5 = 0 A. two imaginary solutions B. two real irrational solutions C. one (repeated) real rational solution D. two real rational solutions

Solution

x^2 + 4x + 5 = 0

Using

when ax^2 + bx + c = 0

x = [-b +/- sqrt (b^2 - 4ac)]/(2a)

when b^2 - 4ac < 0, Solution will be imaginary

Solution will be

4^2 - 4*1*5 < 0

-4 < 0

So solution will be imaginary

Correct option is A.