(5y/y^2-7y)-(4/2y-14)+(9/y)

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Solution for (5y/y^2-7y)-(4/2y-14)+(9/y) equation:


D( y )

y = 0

y^2 = 0

y = 0

y = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

(5*y)/(y^2)-(7*y)-((4/2)*y)+9/y+14 = 0

(5*y)/(y^2)-7*y-2*y+9/y+14 = 0

14*y^-1-9*y^1+14*y^0 = 0

(14*y^1-9*y^2+14*y^0)/(y^1) = 0 // * y^2

y^1*(14*y^1-9*y^2+14*y^0) = 0

y^1

14*y-9*y^2+14 = 0

14*y-9*y^2+14 = 0

DELTA = 14^2-(-9*4*14)

DELTA = 700

DELTA > 0

y = (700^(1/2)-14)/(-9*2) or y = (-700^(1/2)-14)/(-9*2)

y = (10*7^(1/2)-14)/(-18) or y = (-10*7^(1/2)-14)/(-18)

y in { (10*7^(1/2)-14)/(-18), (-10*7^(1/2)-14)/(-18)}

y in { (10*7^(1/2)-14)/(-18), (-10*7^(1/2)-14)/(-18) }

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