570=9000/x+9x

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Solution for 570=9000/x+9x equation: 


D( x )

x = 0

x = 0

x = 0

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

570 = 9*x+9000/x // - 9*x+9000/x

570-(9*x)-(9000/x) = 0

570-9*x-9000*x^-1 = 0

570*x^0-9*x^1-9000*x^-1 = 0

(570*x^1-9*x^2-9000*x^0)/(x^1) = 0 // * x^2

x^1*(570*x^1-9*x^2-9000*x^0) = 0

x^1

570*x-9*x^2-9000 = 0

570*x-9*x^2-9000 = 0

DELTA = 570^2-(-9000*(-9)*4)

DELTA = 900

DELTA > 0

x = (900^(1/2)-570)/(-9*2) or x = (-900^(1/2)-570)/(-9*2)

x = 30 or x = 100/3

x in { 30, 100/3} 

x in { 30, 100/3 }

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