1/2x-8-3/x-4=-5

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Solution for 1/2x-8-3/x-4=-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/2)*x-(3/x)-8-4 = -5 // + 5

(1/2)*x-(3/x)-8-4+5 = 0

(1/2)*x-3*x^-1-8-4+5 = 0

1/2*x^1-3*x^-1-7*x^0 = 0

(1/2*x^2-7*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2-7*x^1-3*x^0) = 0

x^1

(1/2)*x^2-7*x-3 = 0

(1/2)*x^2-7*x-3 = 0

DELTA = (-7)^2-(-3*4*(1/2))

DELTA = 55

DELTA > 0

x = (55^(1/2)+7)/(2*(1/2)) or x = (7-55^(1/2))/(2*(1/2))

x = 55^(1/2)+7 or x = 7-55^(1/2)

x in { 7-55^(1/2), 55^(1/2)+7} 

x in { 7-55^(1/2), 55^(1/2)+7 }

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