(y+5/y+2)(2y+4/3y^2-75)

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Solution for (y+5/y+2)(2y+4/3y^2-75) equation: 


D( y )

y = 0

y = 0

y = 0

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

(y+5/y+2)*((4/3)*y^2+2*y-75) = 0

(y+5*y^-1+2)*(4/3*y^2+2*y-75) = 0

y+5*y^-1+2 = 0

1*y^1+5*y^-1+2*y^0 = 0

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

y^1*(1*y^2+2*y^1+5*y^0) = 0

y^1

y^2+2*y+5 = 0

y^2+2*y+5 = 0

DELTA = 2^2-(1*4*5)

DELTA = -16

DELTA < 0

y in { } 

1 = 0

4/3*y^2+2*y-75 = 0

4/3*y^2+2*y-75 = 0

DELTA = 2^2-(-75*4/3*4)

DELTA = 404

DELTA > 0

y = (404^(1/2)-2)/(4/3*2) or y = (-404^(1/2)-2)/(4/3*2)

y = 3/8*(2*101^(1/2)-2) or y = 3/8*(-2*101^(1/2)-2)

(y-3/8*(-2*101^(1/2)-2))*(y-3/8*(2*101^(1/2)-2)) = 0

(y-3/8*(-2*101^(1/2)-2))*(y-3/8*(2*101^(1/2)-2)) = 0

( y-3/8*(-2*101^(1/2)-2) )

y-3/8*(-2*101^(1/2)-2) = 0 // + -3/8*(-2*101^(1/2)-2)

y = -(-3/8*(-2*101^(1/2)-2))

y = 3/8*(-2*101^(1/2)-2)

( y-3/8*(2*101^(1/2)-2) )

y-3/8*(2*101^(1/2)-2) = 0 // + -3/8*(2*101^(1/2)-2)

y = -(-3/8*(2*101^(1/2)-2))

y = 3/8*(2*101^(1/2)-2)

y in { 3/8*(-2*101^(1/2)-2), 3/8*(2*101^(1/2)-2) }

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