x-400/x=42

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Solution for x-400/x=42 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(400/x) = 42 // - 42

x-(400/x)-42 = 0

x-400*x^-1-42 = 0

1*x^1-400*x^-1-42*x^0 = 0

(1*x^2-42*x^1-400*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-42*x^1-400*x^0) = 0

x^1

x^2-42*x-400 = 0

x^2-42*x-400 = 0

DELTA = (-42)^2-(-400*1*4)

DELTA = 3364

DELTA > 0

x = (3364^(1/2)+42)/(1*2) or x = (42-3364^(1/2))/(1*2)

x = 50 or x = -8

x in { -8, 50} 

x in { -8, 50 }

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