(4-(5/X))/(X+(7/(8X)))

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Solution for (4-(5/X))/(X+(7/(8X))) equation: 


D( X )

X+7/(8*X) = 0

X = 0

8*X = 0

X+7/(8*X) = 0

X+7/(8*X) = 0

1*X^1+7/8*X^-1 = 0

(1*X^2+7/8*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2+7/8*X^0) = 0

X^1

X^2+7/8 = 0

X^2+7/8 = 0

DELTA = 0^2-(1*4*(7/8))

DELTA = -7/2

DELTA < 0

X in { } 

X = 0

X = 0

8*X = 0

8*X = 0

8*X = 0 // : 8

X = 0

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

(4-(5/X))/(X+7/(8*X)) = 0

(4-5*X^-1)/(X+7/(8*X)) = 0

(4-5*X^-1)/(X+7/8*X^-1) = 0

X+7/8*X^-1 = 0

X^-1*(X^2+7/8) = 0

1*X^2 = -7/8 // : 1

X^2 = -7/8

1/X = 0

(4-5*X^-1)/(X^-1) = 0

-5*X^-1 = -4 // : -5

X^-1 = 4/5

-1 < 0

1/(X^1) = 4/5 // * X^1

1 = 4/5*X^1 // : 4/5

5/4 = X^1

X = 5/4

X = 5/4

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