7/8x-4/x-4

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Solution for 7/8x-4/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(7/8)*x-(4/x)-4 = 0

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

7/8*x^1-4*x^-1-4*x^0 = 0

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

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

x^1

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

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

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

DELTA = 30

DELTA > 0

x = (30^(1/2)+4)/(2*(7/8)) or x = (4-30^(1/2))/(2*(7/8))

x = 4/7*(30^(1/2)+4) or x = 4/7*(4-30^(1/2))

x in { 4/7*(4-30^(1/2)), 4/7*(30^(1/2)+4)} 

x in { 4/7*(4-30^(1/2)), 4/7*(30^(1/2)+4) }

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