Answer:
33
Step-by-step explanation:
(
5
−
√
x
)
2
=
5
2
−
(
2
×
5
×
√
x
)
+
x
=
25
−
10
√
x
+
x
=
(
x
+
25
)
−
10
√
x
In order to eliminate the irrational
−
20
√
2
term with
x
and
y
being integers, we must have:
−
10
√
x
=
−
20
√
2
Divide both sides by
−
10
to get:
√
x
=
2
√
2
So
x
=
(
2
√
2
)
2
=
8
y
=
x
+
25
=
8
+
25
=
33