(7/y-8)-(6/8-y)

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Solution for (7/y-8)-(6/8-y) equation:


D( y )

y = 0

y = 0

y = 0

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

y+7/y-(6/8)-8 = 0

y+7/y-3/4-8 = 0

1*y^1+7*y^-1-35/4*y^0 = 0

(1*y^2-35/4*y^1+7*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-35/4*y^1+7*y^0) = 0

y^1

y^2+(-35/4)*y+7 = 0

y^2+(-35/4)*y+7 = 0

DELTA = (-35/4)^2-(1*4*7)

DELTA = 777/16

DELTA > 0

y = ((777/16)^(1/2)-(-35/4))/(1*2) or y = (-(-35/4)-(777/16)^(1/2))/(1*2)

y = ((777/16)^(1/2)+35/4)/2 or y = (35/4-(777/16)^(1/2))/2

y in { (35/4-(777/16)^(1/2))/2, ((777/16)^(1/2)+35/4)/2}

y in { (35/4-(777/16)^(1/2))/2, ((777/16)^(1/2)+35/4)/2 }

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