SOLUTION: State the value of the discriminant, and the describe the nature of solutions: -4x^2-5x+4=0 A. The equation has two real solutions B. The equation has one real solution C.

Question 420797: State the value of the discriminant, and the describe the nature of solutions:
-4x^2-5x+4=0
A. The equation has two real solutions
B. The equation has one real solution
C. The equation has two imaginary solutions
Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
For an equation Ax^2 + Bx + C = 0, the discriminant is the value B^2 - 4AC.
If the discriminant is a positive number, there are 2 real solutions.
If the discriminant is a negative number, there are 2 imaginary solutions.
If the discriminant is 0, there is 1 real solution.
If you calculate the discriminant here (I'll leave that for you to do), you should get a positive number, so the answer is A.
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