The answer to the question is as follows:
I would start by setting up an equation in vertex form.
y=a(x-2)^2 +13
To find a, sub in (0,5)
5=a(0-2)^2 +13
-8=4a
a=-2
y=-2(x-2)^2 +13
Set y equal to 0:
0=-2(x-2)^2 +13
-13=-2(x-2)^2
6.5 = (x-2)^2
+/- square root 6.5 = x-2
x= 4.549, -0.549
I hope my answer has come to your help. God bless and have a nice day ahead!