5y=250/y

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Solution for 5y=250/y equation:


D( y )

y = 0

y = 0

y = 0

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

5*y = 250/y // - 250/y

5*y-(250/y) = 0

5*y-250*y^-1 = 0

5*y^1-250*y^-1 = 0

(5*y^2-250*y^0)/(y^1) = 0 // * y^2

y^1*(5*y^2-250*y^0) = 0

y^1

5*y^2-250 = 0

5*y^2-250 = 0

DELTA = 0^2-(-250*4*5)

DELTA = 5000

DELTA > 0

y = (5000^(1/2)+0)/(2*5) or y = (0-5000^(1/2))/(2*5)

y = 5*2^(1/2) or y = -5*2^(1/2)

y in { -5*2^(1/2), 5*2^(1/2)}

y in { -5*2^(1/2), 5*2^(1/2) }

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