10=10y-(200/y)

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Solution for 10=10y-(200/y) equation: 


D( y )

y = 0

y = 0

y = 0

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

10 = 10*y-(200/y) // - 10*y-(200/y)

200/y-(10*y)+10 = 0

200/y-10*y+10 = 0

200*y^-1-10*y^1+10*y^0 = 0

(10*y^1-10*y^2+200*y^0)/(y^1) = 0 // * y^2

y^1*(10*y^1-10*y^2+200*y^0) = 0

y^1

10*y-10*y^2+200 = 0

10*y-10*y^2+200 = 0

DELTA = 10^2-(-10*4*200)

DELTA = 8100

DELTA > 0

y = (8100^(1/2)-10)/(-10*2) or y = (-8100^(1/2)-10)/(-10*2)

y = -4 or y = 5

y in { -4, 5} 

y in { -4, 5 }

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