5/y-y/6=7/6

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Solution for 5/y-y/6=7/6 equation: 


D( y )

y = 0

y = 0

y = 0

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

5/y-(y/6) = 7/6 // - 7/6

5/y-(y/6)-(7/6) = 0

5/y-(y/6)-7/6 = 0

5*y^-1-1/6*y^1-7/6*y^0 = 0

(5*y^0-1/6*y^2-7/6*y^1)/(y^1) = 0 // * y^2

y^1*(5*y^0-1/6*y^2-7/6*y^1) = 0

y^1

(-1/6)*y^2+(-7/6)*y+5 = 0

(-1/6)*y^2+(-7/6)*y+5 = 0

DELTA = (-7/6)^2-(4*5*(-1/6))

DELTA = 169/36

DELTA > 0

y = ((169/36)^(1/2)-(-7/6))/(2*(-1/6)) or y = (-(-7/6)-(169/36)^(1/2))/(2*(-1/6))

y = -10 or y = 3

y in { -10, 3} 

y in { -10, 3 }

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