Answer
There is no solution.
Work Step by Step
$$\sqrt{x}+\sqrt{x-24}=2$$ $$\sqrt{x-24}=2-\sqrt{x}$$
Square both sides:
$$x-24=4-4\sqrt x+x$$
$$-28=-4\sqrt x$$
$$7=\sqrt x$$
$$x=49$$
Check:
$$\sqrt{49}+\sqrt{49-24}=7+5=12$$
$$12=2\text{~False}$$
Thus, there is no solution.
