SOLUTION: Please Help. Use the discriminant to determine the number types of solutions of the quadratic equation t^2+8t+20=0.

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Question 194753: Please Help. Use the discriminant to determine the number types of solutions of the quadratic equation t^2+8t+20=0.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From t%5E2%2B8t%2B20 we can see that a=1, b=8, and c=20


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


D=%288%29%5E2-4%281%29%2820%29 Plug in a=1, b=8, and c=20


D=64-4%281%29%2820%29 Square 8 to get 64


D=64-80 Multiply 4%281%29%2820%29 to get %284%29%2820%29=80


D=-16 Subtract 80 from 64 to get -16


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


In other words, there are no real solutions.