(1-x)^2/x=116,4

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Solution for (1-x)^2/x=116,4 equation: 


D( x )

x = 0

x = 0

x = 0

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

((1-x)^2)/x = 116.4 // - 116.4

((1-x)^2)/x-116.4 = 0

((1-x)^2)/x+(-116.4*x)/x = 0

(1-x)^2-116.4*x = 0

x^2-118.4*x+1 = 0

x^2-118.4*x+1 = 0

x^2-118.4*x+1 = 0

DELTA = (-118.4)^2-(1*1*4)

DELTA = 118.4^2-4

DELTA = 14014.56

DELTA > 0

x = ((118.4^2-4)^(1/2)+118.4)/(1*2) or x = (118.4-(118.4^2-4)^(1/2))/(1*2)

x = ((118.4^2-4)^(1/2)+118.4)/2 or x = (118.4-(118.4^2-4)^(1/2))/2

(x-((118.4-(118.4^2-4)^(1/2))/2))*(x-(((118.4^2-4)^(1/2)+118.4)/2)) = 0

((x-((118.4-(118.4^2-4)^(1/2))/2))*(x-(((118.4^2-4)^(1/2)+118.4)/2)))/x = 0

((x-((118.4-(118.4^2-4)^(1/2))/2))*(x-(((118.4^2-4)^(1/2)+118.4)/2)))/x = 0 // * x

(x-((118.4-(118.4^2-4)^(1/2))/2))*(x-(((118.4^2-4)^(1/2)+118.4)/2)) = 0

( x-(((118.4^2-4)^(1/2)+118.4)/2) )

x-(((118.4^2-4)^(1/2)+118.4)/2) = 0 // + ((118.4^2-4)^(1/2)+118.4)/2

x = ((118.4^2-4)^(1/2)+118.4)/2

( x-((118.4-(118.4^2-4)^(1/2))/2) )

x-((118.4-(118.4^2-4)^(1/2))/2) = 0 // + (118.4-(118.4^2-4)^(1/2))/2

x = (118.4-(118.4^2-4)^(1/2))/2

x in { ((118.4^2-4)^(1/2)+118.4)/2, (118.4-(118.4^2-4)^(1/2))/2 }

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