Question 1047869
The two are equal to have a common point.
2x+5=sqrt(2x+5)
square both sides
4x^2+20x+25=2x+5
4x^2+18x+20=0
2x^2+9x+10=0, dividing everything by 2.
x=(1/4)(-9+/- sqrt(81-80)
x=(1/4)(-8) and x=(1/4)(-10)
x=-2 and -2.5; x=-2.5 is the x-intercept, so the other point is x=-2  ANSWER.

{{{graph(300,300,-5,-1,-5,5,2x+5,sqrt(2x+5))}}}