3/Y-3/7Y=5

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Solution for 3/Y-3/7Y=5 equation:


D( Y )

Y = 0

Y = 0

Y = 0

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

3/Y-((3/7)*Y) = 5 // - 5

3/Y-((3/7)*Y)-5 = 0

(-3/7)*Y+3/Y-5 = 0

3*Y^-1-3/7*Y^1-5*Y^0 = 0

(3*Y^0-3/7*Y^2-5*Y^1)/(Y^1) = 0 // * Y^2

Y^1*(3*Y^0-3/7*Y^2-5*Y^1) = 0

Y^1

(-3/7)*Y^2-5*Y+3 = 0

(-3/7)*Y^2-5*Y+3 = 0

DELTA = (-5)^2-(3*4*(-3/7))

DELTA = 211/7

DELTA > 0

Y = ((211/7)^(1/2)+5)/(2*(-3/7)) or Y = (5-(211/7)^(1/2))/(2*(-3/7))

Y = -7/6*((211/7)^(1/2)+5) or Y = -7/6*(5-(211/7)^(1/2))

Y in { -7/6*((211/7)^(1/2)+5), -7/6*(5-(211/7)^(1/2))}

Y in { -7/6*((211/7)^(1/2)+5), -7/6*(5-(211/7)^(1/2)) }

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