Question 1051645
.
{{{graph( 330, 330, -10.5, 10.5, -10.5, 10.5,
          sqrt(x+7), x^2+5
)}}}


Plots y = {{{x+7}}} (red) and y = {{{x^2+5}}} (green).


It is a visual proof on absence of real solution.



Of course, it is not a proof. Simply a visual evidence.