SOLUTION: Determine the number of real number solutions to the equation from this given graph. 5x2 + 4x + 6 = 0, given the graph of y = 5x2 + 4x + 6

Question 405010: Determine the number of real number solutions to the equation from this given graph.
5x2 + 4x + 6 = 0, given the graph of y = 5x2 + 4x + 6
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Here is the graph of :

Notice that the equation can be written as which amounts to replacing y in by 0.

So we really have this system:

And is the equation of the .
Therefore we look to see if any the graph of has in common with the .
It appears that there is point the curve has in common with the and it is not a tangent to the x-axis anywhere.
So the equation appears to have no real number solution.

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