3+4/y=8y-1/5

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Solution for 3+4/y=8y-1/5 equation: 


D( y )

y = 0

y = 0

y = 0

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

4/y+3 = 8*y-(1/5) // - 8*y-(1/5)

4/y-(8*y)+1/5+3 = 0

4/y-8*y+1/5+3 = 0

4*y^-1-8*y^1+16/5*y^0 = 0

(16/5*y^1-8*y^2+4*y^0)/(y^1) = 0 // * y^2

y^1*(16/5*y^1-8*y^2+4*y^0) = 0

y^1

(16/5)*y-8*y^2+4 = 0

(16/5)*y-8*y^2+4 = 0

DELTA = (16/5)^2-(-8*4*4)

DELTA = 3456/25

DELTA > 0

y = ((3456/25)^(1/2)-(16/5))/(-8*2) or y = (-(16/5)-(3456/25)^(1/2))/(-8*2)

y = ((3456/25)^(1/2)-16/5)/(-16) or y = ((3456/25)^(1/2)+16/5)/16

y in { ((3456/25)^(1/2)-16/5)/(-16), ((3456/25)^(1/2)+16/5)/16} 

y in { ((3456/25)^(1/2)-16/5)/(-16), ((3456/25)^(1/2)+16/5)/16 }

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