Question

If x=a+√(a^2-1)
then a​

Answer 1

Answer:

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Step-by-step explanation:

x = a + √a^2 +1

1/x = 1/(a + √a^2 + 1 )

Multiplying and dividing R.H.S. by

(a - √(a^2+1) ) , we get

1/x = (a - √(a^2 +1) )/(a^2 -(a^2 +1) )

=> 1/x = -(a - √(a^2 +1) ) = -a + √(a^2 +1)

Subtracting 1/x from x we get

x - 1/x = 2a

=> a = (x - 1/x )/2

Hope it helps !!!