SOLUTION: With the system y=2x and y=x^2+5 without graphing what is the solution? And what does the solution to the system tell you about the graphs?

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Question 879064: With the system y=2x and y=x^2+5 without graphing what is the solution? And what does the solution to the system tell you about the graphs?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!

2x=x%5E2%2B5
x%5E2-2x%2B5=0
Not sure if any solutions...
Not factorable.

x=%282%2B-+sqrt%284-4%2A5%29%29%2F2
Discriminant is obviously less than zero; the system has no solution and this means graphing the system will give no point of intersection.