(X-1/X)^2-(77/12)(X-1/x)+10

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Solution for (X-1/X)^2-(77/12)(X-1/x)+10 equation: 


D( x )

x = 0

x = 0

x = 0

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

(X-(1/X))^2-((77/12)*(X-(1/x)))+10 = 0

(X-X^-1)^2+(-77/12)*(X-x^-1)+10 = 0

(X-X^-1)^2-77/12*(X-x^-1)+10 = 0

(X-X^-1)^2-77/12*(X-x^-1)+10 = 0

X^2-77/12*X+X^-2+77/12*x^-1-2+10 = 0

X^2-77/12*X+X^-2+77/12*x^-1+8 = 0

X^2-77/12*X+X^-2+77/12*x^-1+8 = 0

77/12*x^-1 = -(X^2-77/12*X+X^-2+8) // : 77/12

x^-1 = -12/77*(X^2-77/12*X+X^-2+8)

-1 < 0

1/(x^1) = -12/77*(X^2-77/12*X+X^-2+8) // * x^1

1 = -12/77*x^1*(X^2-77/12*X+X^-2+8) // : -12/77*(X^2-77/12*X+X^-2+8)

-77/12*(X^2-77/12*X+X^-2+8)^-1 = x^1

x = -77/12*(X^2-77/12*X+X^-2+8)^-1

x = -77/12*(X^2-77/12*X+X^-2+8)^-1

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