x-8=20/x

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Solution for x-8=20/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-8 = 20/x // - 20/x

x-(20/x)-8 = 0

x-20*x^-1-8 = 0

1*x^1-20*x^-1-8*x^0 = 0

(1*x^2-8*x^1-20*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-8*x^1-20*x^0) = 0

x^1

x^2-8*x-20 = 0

x^2-8*x-20 = 0

DELTA = (-8)^2-(-20*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+8)/(1*2) or x = (8-144^(1/2))/(1*2)

x = 10 or x = -2

x in { -2, 10} 

x in { -2, 10 }

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