SOLUTION: What are the zeros of y=3x^2+2x+1

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Question 1036669: What are the zeros of y=3x^2+2x+1
Found 2 solutions by Aldorozos, MathTherapy:
Answer by Aldorozos(172) About Me  (Show Source):
You can put this solution on YOUR website!
IF we replace x with zero we get y = 0+0+1 =1. The point (0,1) is called they Y intercept.
IF we set y = 0, we get the second part of the equation that is supposed to be equal to zero. That is a quadratic equation and there is not any real number solution to this quadratic equation as the number under radical would be a negative number. This means that there is not any x intercept.
In terms of graph, it means that curve doesn't touch the x axis. In other words Y can't be zero.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
What are the zeros of y=3x^2+2x+1
The discriminant: b%5E2+-+4ac, or 2%5E2+-+4%283%29%281%29 = 4 - 12 = - 8. Hence, the solutions will be COMPLEX numbers, and will NOT intersect the x-axis.
Therefore, highlight_green%28matrix%281%2C3%2C+NO%2C+REAL%2C+ROOTS%29%29