-10+x-(900/x)=80

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Solution for -10+x-(900/x)=80 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(900/x)-10 = 80 // - 80

x-(900/x)-80-10 = 0

x-900*x^-1-80-10 = 0

1*x^1-900*x^-1-90*x^0 = 0

(1*x^2-90*x^1-900*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-90*x^1-900*x^0) = 0

x^1

x^2-90*x-900 = 0

x^2-90*x-900 = 0

DELTA = (-90)^2-(-900*1*4)

DELTA = 11700

DELTA > 0

x = (11700^(1/2)+90)/(1*2) or x = (90-11700^(1/2))/(1*2)

x = (30*13^(1/2)+90)/2 or x = (90-30*13^(1/2))/2

x in { (90-30*13^(1/2))/2, (30*13^(1/2)+90)/2} 

x in { (90-30*13^(1/2))/2, (30*13^(1/2)+90)/2 }

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