20/y-16/2y=6

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Solution for 20/y-16/2y=6 equation: 


D( y )

y = 0

y = 0

y = 0

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

20/y-((16/2)*y) = 6 // - 6

20/y-((16/2)*y)-6 = 0

20/y-8*y-6 = 0

20*y^-1-8*y^1-6*y^0 = 0

(20*y^0-8*y^2-6*y^1)/(y^1) = 0 // * y^2

y^1*(20*y^0-8*y^2-6*y^1) = 0

y^1

20-8*y^2-6*y = 0

20-8*y^2-6*y = 0

DELTA = (-6)^2-(-8*4*20)

DELTA = 676

DELTA > 0

y = (676^(1/2)+6)/(-8*2) or y = (6-676^(1/2))/(-8*2)

y = -2 or y = 5/4

y in { -2, 5/4} 

y in { -2, 5/4 }

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