If (7a2+2b2): (7a2-2b2)= 113:13, then find the value of a:b
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1
Given,
7a
2
−2b
2
7a
2
+2b
2
=
13
113
Applying componendo and dividendo,
(7a
2
+2b
2
)−(7a
2
−2b
2
)
(7a
2
+2b
2
)+(7a
2
−2b
2
)
=
113−13
113+13
∴
4b
2
14a
2
=
100
126
2b
2
7a
2
=
50
63
b
2
a
2
=
25
9
∴
b
a
=
25
9
=
5
3
or −
5
3
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