Answer
No Solution
Work Step by Step
Given equation is-
$x^{2}+9$ = $0$
Algebraic Solution:
$x^{2}$ = $-9$
i.e. $x$ = $\sqrt {-9}$
There is no real number whose square is a negative number.
i.e. Equation has no solution
Graphical Solution:
$x^{2}+9$ = $0$
Now graphing $y$ = $x^{2}+9$
We get no $x-intercept$
i.e. Equation has no real solution.