Question

Solve equation :- x/x-1 + x-1/x = 4

Answer 1

Answer:

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Step-by-step explanation:

⇒ x/x-1 + x-1/x = 4

⇒ x² + (x - 1)²/ x(x-1)  = 4                 (taking L.C.M.)

⇒ x² + x² + 1 - 2x  = 4x(x-1)

⇒2x² - 2x + 1 = 4x(x-1)

⇒2x(x-1) + 1 = 4x(x-1)

⇒ 4x(x-1) - 2x(x-1) = 1

⇒ 2x(x-1) = 1

⇒ (x-1) = 1/2x

⇒ x = 3/2