7/Y+2-4/Y-2=5/Y2-4

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Solution for 7/Y+2-4/Y-2=5/Y2-4 equation: 


D( Y )

Y^2 = 0

Y = 0

Y^2 = 0

Y^2 = 0

1*Y^2 = 0 // : 1

Y^2 = 0

Y = 0

Y = 0

Y = 0

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

7/Y-(4/Y)-2+2 = 5/(Y^2)-4 // - 5/(Y^2)-4

7/Y-(4/Y)-(5/(Y^2))-2+2+4 = 0

7/Y-4*Y^-1-5*Y^-2-2+2+4 = 0

3*Y^-1-5*Y^-2+4 = 0

t_1 = Y^-1

3*t_1^1-5*t_1^2+4 = 0

3*t_1-5*t_1^2+4 = 0

DELTA = 3^2-(-5*4*4)

DELTA = 89

DELTA > 0

t_1 = (89^(1/2)-3)/(-5*2) or t_1 = (-89^(1/2)-3)/(-5*2)

t_1 = (89^(1/2)-3)/(-10) or t_1 = (89^(1/2)+3)/10

t_1 = (89^(1/2)-3)/(-10)

Y^-1-((89^(1/2)-3)/(-10)) = 0

1*Y^-1 = (89^(1/2)-3)/(-10) // : 1

Y^-1 = (89^(1/2)-3)/(-10)

-1 < 0

1/(Y^1) = (89^(1/2)-3)/(-10) // * Y^1

1 = ((89^(1/2)-3)/(-10))*Y^1 // : (89^(1/2)-3)/(-10)

-10*(89^(1/2)-3)^-1 = Y^1

Y = -10*(89^(1/2)-3)^-1

t_1 = (89^(1/2)+3)/10

Y^-1-((89^(1/2)+3)/10) = 0

1*Y^-1 = (89^(1/2)+3)/10 // : 1

Y^-1 = (89^(1/2)+3)/10

-1 < 0

1/(Y^1) = (89^(1/2)+3)/10 // * Y^1

1 = ((89^(1/2)+3)/10)*Y^1 // : (89^(1/2)+3)/10

10*(89^(1/2)+3)^-1 = Y^1

Y = 10*(89^(1/2)+3)^-1

Y in { -10*(89^(1/2)-3)^-1, 10*(89^(1/2)+3)^-1 }

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