if x ^a=b then what is the value of b?
Answers
x=
a+b
2ab
=>
a
x
=
a+b
2b
Applying Componendo and Dividendo,we get,
=>
x−a
x+a
=
2b−a−b
2b+a+b
=>
x−a
x+a
=
b−a
3b+a
(i)
Again,
x=
a+b
2ab
=>>
b
x
=
a+b
2a
Applying Componendo and Dividendo,we get
=>
x−b
x+b
=
2a−b−a
2a+a+b
=>
x−b
x+b
=
a−b
3a+b
(ii)
Now,from (i) and (ii) we get,
=>
x−b
x+b
+
x−b
x+b
=
b−a
3b+a
+
a−b
3a+b
=
a−b
3a+b
+
a−b
3b+a
=
a−b
3a+b−3b−a
=
a−b
2(a−b)
=2
Answer:
x=
a+b
2ab
=>
a
x
=
a+b
2b
Applying Componendo and Dividendo,we get,
=>
x−a
x+a
=
2b−a−b
2b+a+b
=>
x−a
x+a
=
b−a
3b+a
(i)
Again,
x=
a+b
2ab
=>>
b
x
=
a+b
2a
Applying Componendo and Dividendo,we get
=>
x−b
x+b
=
2a−b−a
2a+a+b
=>
x−b
x+b
=
a−b
3a+b
(ii)
Now,from (i) and (ii) we get,
=>
x−b
x+b
+
x−b
x+b
=
b−a
3b+a
+
a−b
3a+b
=
a−b
3a+b
+
a−b
3b+a
=
a−b
3a+b−3b−a
=
a−b
2(a−b)
=2