SOLUTION: Without solving, determine the character of the solutions of the equation in the complex number system.
x2 + 5x + 8 = 0
a. a repeated real solution
b. two unequal real
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Question 980037: Without solving, determine the character of the solutions of the equation in the complex number system.
x2 + 5x + 8 = 0
a. a repeated real solution
b. two unequal real solutions
c. two complex solutions that are conjugates of each other
I picked b. Please advise if I am correct or no.
Thank you
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
Calculate the discriminant of the quadratic polynomial.
The discriminant is = = 25 - 32 = -7.
Since the discriminant is negative, the equation = has two complex roots. There are no real roots.
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