3/y+5+y/y+7y+10

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Solution for 3/y+5+y/y+7y+10 equation: 


D( y )

y = 0

y = 0

y = 0

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

7*y+3/y+y/y+5+10 = 0

7*y^1+3*y^-1+16*y^0 = 0

(7*y^2+16*y^1+3*y^0)/(y^1) = 0 // * y^2

y^1*(7*y^2+16*y^1+3*y^0) = 0

y^1

7*y^2+16*y+3 = 0

7*y^2+16*y+3 = 0

DELTA = 16^2-(3*4*7)

DELTA = 172

DELTA > 0

y = (172^(1/2)-16)/(2*7) or y = (-172^(1/2)-16)/(2*7)

y = (2*43^(1/2)-16)/14 or y = (-2*43^(1/2)-16)/14

y in { (-2*43^(1/2)-16)/14, (2*43^(1/2)-16)/14} 

y in { (-2*43^(1/2)-16)/14, (2*43^(1/2)-16)/14 }

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