Question

Given that a=x/x-4 , express x in terms of a​

Answer 1

Answer:

Given x+1/x = a

On simplification you will get

X^2 + 1 = xa

=> x^2 - xa + 1 = 0

This is a quadratic equation so applying the quadratic formula the roots of the equation will be

X = (a+-sqrt (a^2-4))/2 ans.

Hence you will get x in terms of a.

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Answer 2

Given that,

a= ×/(×-4)

=> a(×-4)=×

=> ax-4a= x

=> ax-×= 4a

=>x(a-1)= 4a

=> x=4a/(a-1)

so, the ans is ×= 4a/(a-1)