SOLUTION: State the value of the discriminant and then describe the nature of the solutions. 19x^2-5x+4=0

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Question 512143: State the value of the discriminant and then describe the nature of the solutions. 19x^2-5x+4=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 19x%5E2-5x%2B4 we can see that a=19, b=-5, and c=4


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


D=%28-5%29%5E2-4%2819%29%284%29 Plug in a=19, b=-5, and c=4


D=25-4%2819%29%284%29 Square -5 to get 25


D=25-304 Multiply 4%2819%29%284%29 to get %2876%29%284%29=304


D=-279 Subtract 304 from 25 to get -279


So the discriminant is D=-279


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


In other words, there are no real solutions.