50y=25y+1600/y

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Solution for 50y=25y+1600/y equation:


D( y )

y = 0

y = 0

y = 0

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

50*y = 25*y+1600/y // - 25*y+1600/y

50*y-(25*y)-(1600/y) = 0

50*y-25*y-1600*y^-1 = 0

25*y^1-1600*y^-1 = 0

(25*y^2-1600*y^0)/(y^1) = 0 // * y^2

y^1*(25*y^2-1600*y^0) = 0

y^1

25*y^2-1600 = 0

25*y^2-1600 = 0

DELTA = 0^2-(-1600*4*25)

DELTA = 160000

DELTA > 0

y = (160000^(1/2)+0)/(2*25) or y = (0-160000^(1/2))/(2*25)

y = 8 or y = -8

y in { -8, 8}

y in { -8, 8 }

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