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
Algebra.Com
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) (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) (Show Source): You can put this solution on YOUR website!
Let be the discriminant, i.e. .
If , then the roots are a conjugate pair of complex numbers of the form .
If , the roots are real and equal. (Also described as a single root with a multiplicity of 2)
If , the roots are real and unequal.
Note that choice A is never possible, and choice B only occurs when in equals 0 so that the complex roots become .
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