x-84/x=5

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Solution for x-84/x=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(84/x) = 5 // - 5

x-(84/x)-5 = 0

x-84*x^-1-5 = 0

1*x^1-84*x^-1-5*x^0 = 0

(1*x^2-5*x^1-84*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-5*x^1-84*x^0) = 0

x^1

x^2-5*x-84 = 0

x^2-5*x-84 = 0

DELTA = (-5)^2-(-84*1*4)

DELTA = 361

DELTA > 0

x = (361^(1/2)+5)/(1*2) or x = (5-361^(1/2))/(1*2)

x = 12 or x = -7

x in { -7, 12} 

x in { -7, 12 }

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