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Algebra and Applications Test 3
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© examsnet.com
Question : 3
Total: 25
If
a
2
+
b
2
=
5
a
b
, then the value of
(
a
2
b
2
+
b
2
a
2
)
is
16
23
-23
32
Validate
Solution:
a
2
+
b
2
=
5
a
b
Squaring both sides, we get:
a
4
+
b
4
+
2
a
2
b
2
=
25
a
2
b
2
a
4
+
b
4
=
23
a
2
b
2
Now,
(
a
2
b
2
+
b
2
a
2
)
=
(
a
4
+
b
4
a
2
b
2
)
=
23
a
2
b
2
a
2
b
2
=
23
© examsnet.com
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