400/x=x

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Solution for 400/x=x equation: 


D( x )

x = 0

x = 0

x = 0

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

400/x = x // - x

400/x-x = 0

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

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

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

x^1

400-x^2 = 0

400-x^2 = 0

DELTA = 0^2-(-1*4*400)

DELTA = 1600

DELTA > 0

x = (1600^(1/2)+0)/(-1*2) or x = (0-1600^(1/2))/(-1*2)

x = -20 or x = 20

x in { -20, 20} 

x in { -20, 20 }

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