X+1/X+41/20

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Solution for X+1/X+41/20 equation: 


D( X )

X = 0

X = 0

X = 0

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

X+1/X+41/20 = 0

1*X^1+1*X^-1+41/20*X^0 = 0

(1*X^2+41/20*X^1+1*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2+41/20*X^1+1*X^0) = 0

X^1

X^2+(41/20)*X+1 = 0

X^2+(41/20)*X+1 = 0

DELTA = (41/20)^2-(1*1*4)

DELTA = 81/400

DELTA > 0

X = ((81/400)^(1/2)-(41/20))/(1*2) or X = (-(41/20)-(81/400)^(1/2))/(1*2)

X = -4/5 or X = -5/4

X in { -5/4, -4/5} 

X in { -5/4, -4/5 }

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