x-12/x-8

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Solution for x-12/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(12/x)-8 = 0

x-12*x^-1-8 = 0

1*x^1-12*x^-1-8*x^0 = 0

(1*x^2-8*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-8*x^1-12*x^0) = 0

x^1

x^2-8*x-12 = 0

x^2-8*x-12 = 0

DELTA = (-8)^2-(-12*1*4)

DELTA = 112

DELTA > 0

x = (112^(1/2)+8)/(1*2) or x = (8-112^(1/2))/(1*2)

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

x in { (8-4*7^(1/2))/2, (4*7^(1/2)+8)/2} 

x in { (8-4*7^(1/2))/2, (4*7^(1/2)+8)/2 }

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