a. it has one real solution
b. it has two complex solutions
c. it has two real solutions
8 Answers

If the discriminant is positive, it has 2 real solutions. If the discriminant is 0, it has 1 real solution. If it is negative, it has 2 complex solutions.
b. it has two complex solutions

Discriminant Of An Equation

To determine the types and number of roots of a
quadratic equation, examine the discriminant:
• If b² – 4ac > 0 then there are two real (unique) roots
• If b² – 4ac = 0 then there is one (double) real root
• If b² – 4ac < 0 then there are two imaginary roots

When the discriminant b^24ac is negative,it has two complex roots which are conjugate pairs.

the respond is, A, yet enable see why: y = ax^2 + bx + c the discriminant is: (b^2) – 4ac that’s decrease than the sq. root sign, whilst making use of the quadratic formula: If (b^2) – 4ac < 0, you would be compelled to take the sq. root of a unfavorable extensive style, and so which you will get a complicated extensive style. as a rule, a complicated extensive style is contained in the style of: m + n*i, the place m and n are actual numbers, and that i is the complicated extensive style sqrt(one million) = i. So, it is not significant that as quickly as you’re making use of the quadratic equation which you have the time era b/2a that’s a genuine extensive style. as lengthy as one area of the respond has the i in it, then the entire answer is a complicated extensive style.

positive: two real solutions
zero: One repeating real solution
negative: no real solutions, two complex solutions
Source(s): Past Yahoo answer question 
b. it has two complex solutions

b