SOLUTION: Please help me. Evaluate the discriminate and predict the type and number of solutions. s square + 3s + 6 = 0 Thank you

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Question 316775: Please help me. Evaluate the discriminate and predict the type and number of solutions.
s square + 3s + 6 = 0
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From s%5E2%2B3s%2B6 we can see that a=1, b=3, and c=6


D=b%5E2-4ac Start with the discriminant formula.


D=%283%29%5E2-4%281%29%286%29 Plug in a=1, b=3, and c=6


D=9-4%281%29%286%29 Square 3 to get 9


D=9-24 Multiply 4%281%29%286%29 to get %284%29%286%29=24


D=-15 Subtract 24 from 9 to get -15


Since the discriminant is less than zero, this means that there are two complex solutions.


In other words, there are no real solutions.