x=600,000/(x-50)

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Solution for x=600,000/(x-50) equation:


D( x )

x-50 = 0

x-50 = 0

x-50 = 0

x-50 = 0 // + 50

x = 50

x in (-oo:50) U (50:+oo)

x = 600/(x-50) // - 600/(x-50)

x-(600/(x-50)) = 0

x-600*(x-50)^-1 = 0

x-600/(x-50) = 0

(x*(x-50))/(x-50)-600/(x-50) = 0

x*(x-50)-600 = 0

x^2-50*x-600 = 0

x^2-50*x-600 = 0

x^2-50*x-600 = 0

DELTA = (-50)^2-(-600*1*4)

DELTA = 4900

DELTA > 0

x = (4900^(1/2)+50)/(1*2) or x = (50-4900^(1/2))/(1*2)

x = 60 or x = -10

(x+10)*(x-60) = 0

((x+10)*(x-60))/(x-50) = 0

((x+10)*(x-60))/(x-50) = 0 // * x-50

(x+10)*(x-60) = 0

( x+10 )

x+10 = 0 // - 10

x = -10

( x-60 )

x-60 = 0 // + 60

x = 60

x in { -10, 60 }

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