Question

Given that a =
$\sqrt{(b + c) \div (b - c)}$
, express c in terms a, b
​

Answer 1

Answer:

Given:- a = √(b + c) ÷ ( b - c)

To find :- c in terms of a and b

Solution:- squaring both the sides

a² = (b+c)/b-c)

a²b - a²c = b + c

a²b - b = a²c + c

b( a² - 1 ) = c ( a² + 1 )

b ( a² - 1)/(a² + 1 ) = c

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