3/4y=1000/y

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Solution for 3/4y=1000/y equation:


D( y )

y = 0

y = 0

y = 0

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

(3/4)*y = 1000/y // - 1000/y

(3/4)*y-(1000/y) = 0

(3/4)*y-1000*y^-1 = 0

3/4*y^1-1000*y^-1 = 0

(3/4*y^2-1000*y^0)/(y^1) = 0 // * y^2

y^1*(3/4*y^2-1000*y^0) = 0

y^1

(3/4)*y^2-1000 = 0

(3/4)*y^2-1000 = 0

DELTA = 0^2-(-1000*4*(3/4))

DELTA = 3000

DELTA > 0

y = (3000^(1/2)+0)/(2*(3/4)) or y = (0-3000^(1/2))/(2*(3/4))

y = 20/3*30^(1/2) or y = -20/3*30^(1/2)

y in { -20/3*30^(1/2), 20/3*30^(1/2)}

y in { -20/3*30^(1/2), 20/3*30^(1/2) }

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