If there is an intersection between the image of the first function y = 5x + m and the image of the second function y = x2 + 3x + 5, then the value range of M is
x^2+3x+5=5x+m
x^2-2x+5-m=0
There are intersections
Δ>=0
4-4(5-m)>=0
5-m=4
The value range of M: [4, + ∞)
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