SOLUTION: How many solutions does 5x^2-2x+3 have?

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Question 437296: How many solutions does 5x^2-2x+3 have?
Found 2 solutions by stanbon, nerdybill:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
All quadratic equations have 2 solutions.
Sometimes the 2 solutions are the same.
sometimes they are real numbers
sometimes they are complex numbers.
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Use the quadratic equation to find the solutions.
x = [-b +- sqrt(b^2-4ac)]/(2a)
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Cheers,
Stan H.
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Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
5x^2-2x+3
we calculate the discriminant:
b^2-4ac
(-2)^2-4(5)(3)
4-4(15)
4-60
-56
Since the discriminant is negative we conclude that there are
"two complex solutions"