# 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 unequalFound 2 solutions by jim_thompson5910, solver91311:Answer by jim_thompson5910(28598)   (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(16897)   (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 .