SOLUTION: compute the discriminant of the quadratic equation 3x^2+x+2=0 then write a brief sentence describing the number and type of solution for this equation

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Question 541323: compute the discriminant of the quadratic equation 3x^2+x+2=0 then write a brief sentence describing the number and type of solution for this equation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 3x%5E2%2Bx%2B2 we can see that a=3, b=1, and c=2


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


D=%281%29%5E2-4%283%29%282%29 Plug in a=3, b=1, and c=2


D=1-4%283%29%282%29 Square 1 to get 1


D=1-24 Multiply 4%283%29%282%29 to get %2812%29%282%29=24


D=-23 Subtract 24 from 1 to get -23


So the discriminant is D=-23


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


In other words, there are no real solutions.


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