{x+1/x+2) whole square =4 find the value of x square +1/x square
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(x+1/x+2)^2 = 4 ...... (i)
=> (x+1/x)^2 + 4 (x+1/x) +4 = 4
=> (x+1/x) (x+1/x+4) = 0
Either, x+1/x = 0 or, x+1/x = - 4
Again, from (i),
x^2 + 1/x^2 + 4+2+4x+4(1/x)=4
=> x^2 + 1/x^2 = -2 - 4(x+1/x)
=> x^2 + 1/x^2 = -2- 4×0 = -2 or,
= -2-4 (-4) =14
Required Answer is -2 or, 14
=> (x+1/x)^2 + 4 (x+1/x) +4 = 4
=> (x+1/x) (x+1/x+4) = 0
Either, x+1/x = 0 or, x+1/x = - 4
Again, from (i),
x^2 + 1/x^2 + 4+2+4x+4(1/x)=4
=> x^2 + 1/x^2 = -2 - 4(x+1/x)
=> x^2 + 1/x^2 = -2- 4×0 = -2 or,
= -2-4 (-4) =14
Required Answer is -2 or, 14
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