Answer :
Equations have two complex solutions if their discriminant is negative. So, option A is the correct answer.
In algebra, the discriminant of any equation is a quantity that is used to find out about the nature of the roots using the formula = b²-4ac. It tells us if there are no solutions, one solution, or two.
Here, we have been told that the discriminant is negative.
From the formula, we can say that = D = b²-4ac < 0.
Here, if D<0, then x becomes an imaginary value. This means that the roots are going to be imaginary i.e., complex. Thus, the two roots that we get as a result of the formula are both going to be complex.
So, option A is the answer.
The complete that you might be looking for is given below.
If the discriminant of an equation is negative, which of the following is true of the equation
A. it has two complex solutions
B. it has one real solution
C. it had two real solutions
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