4-y-1/y

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Solution for 4-y-1/y equation: 


D( y )

y = 0

y = 0

y = 0

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

4-y-(1/y) = 0

4-y-y^-1 = 0

4*y^0-1*y^1-1*y^-1 = 0

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

y^1*(4*y^1-1*y^2-1*y^0) = 0

y^1

4*y-y^2-1 = 0

4*y-y^2-1 = 0

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

DELTA = 12

DELTA > 0

y = (12^(1/2)-4)/(-1*2) or y = (-12^(1/2)-4)/(-1*2)

y = (2*3^(1/2)-4)/(-2) or y = (-2*3^(1/2)-4)/(-2)

y in { (2*3^(1/2)-4)/(-2), (-2*3^(1/2)-4)/(-2)} 

y in { (2*3^(1/2)-4)/(-2), (-2*3^(1/2)-4)/(-2) }

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