SOLUTION: state the value of the discriminant, then describe the nature of the solution of 9x^2-4x+6=0

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Question 536976: state the value of the discriminant, then describe the nature of the solution of 9x^2-4x+6=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 9x%5E2-4x%2B6 we can see that a=9, b=-4, and c=6


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


D=%28-4%29%5E2-4%289%29%286%29 Plug in a=9, b=-4, and c=6


D=16-4%289%29%286%29 Square -4 to get 16


D=16-216 Multiply 4%289%29%286%29 to get %2836%29%286%29=216


D=-200 Subtract 216 from 16 to get -200


So the discriminant is D=-200


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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