y+1/y=2

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Solution for y+1/y=2 equation:


D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

y+1/y = 2 // - 2

y+1/y-2 = 0

1*y^1+1*y^-1-2*y^0 = 0

(1*y^2-2*y^1+1*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-2*y^1+1*y^0) = 0

y^1

y^2-2*y+1 = 0

y^2-2*y+1 = 0

DELTA = (-2)^2-(1*1*4)

DELTA = 0

y = 2/(1*2)

y = 1 or y = 1

y in { 1, 1}

y in { 1, 1 }

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