SOLUTION: If the discriminant of a complete quadratic equation is 8, what is the nature of its root? A. Imaginary and identical B. Imaginary and Unequal C. Real and identical D. Real and

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Question 144707: If the discriminant of a complete quadratic equation is 8, what is the nature of its root?
A. Imaginary and identical
B. Imaginary and Unequal
C. Real and identical
D. Real and unequal
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the discriminant is greater than 0, this means that the equation will have 2 distinct real roots. So the answer is D) Real and unequal

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the discriminant, i.e. b%5E2-4ac.

If D%3C0, then the roots are a conjugate pair of complex numbers of the form alpha%2B-beta%2Ai.

If D=0, the roots are real and equal. (Also described as a single root with a multiplicity of 2)

If D%3E0, the roots are real and unequal.

Note that choice A is never possible, and choice B only occurs when b in ax%5E2%2Bbx%2Bc=0 equals 0 so that the complex roots become 0%2B-beta%2Ai.