90+x+(1/x)=180

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Solution for 90+x+(1/x)=180 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x+90 = 180 // - 180

x+1/x-180+90 = 0

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

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

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

x^1

x^2-90*x+1 = 0

x^2-90*x+1 = 0

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

DELTA = 8096

DELTA > 0

x = (8096^(1/2)+90)/(1*2) or x = (90-8096^(1/2))/(1*2)

x = (4*506^(1/2)+90)/2 or x = (90-4*506^(1/2))/2

x in { (90-4*506^(1/2))/2, (4*506^(1/2)+90)/2} 

x in { (90-4*506^(1/2))/2, (4*506^(1/2)+90)/2 }

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