x-7=-12/x

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Solution for x-7=-12/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-7 = -12/x // + -12/x

x-(-12/x)-7 = 0

x+12*x^-1-7 = 0

1*x^1+12*x^-1-7*x^0 = 0

(1*x^2-7*x^1+12*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-7*x^1+12*x^0) = 0

x^1

x^2-7*x+12 = 0

x^2-7*x+12 = 0

DELTA = (-7)^2-(1*4*12)

DELTA = 1

DELTA > 0

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

x = 4 or x = 3

x in { 3, 4} 

x in { 3, 4 }

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