If 5a + 1/7a = 5, then let's find the value of 25a²+1/49a²
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Answer:
Multiply both side by 3/5.
(
5
3
)5a+(
5
3
)(
3
1
a)=(
5
3
)5
=> 3a+(
5
1
a)=3
Squaring both sides,
9a
2
+(
25a
2
1
)+(
5
6
)=9 {using (a+b)
2
=a
2
+b
2
+2ab)
=> 9a
2
=(
25a
2
1
)=
5
39
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