(1/(y+2))+(1/(y+6))=1

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Solution for (1/(y+2))+(1/(y+6))=1 equation:


D( y )

y+6 = 0

y+2 = 0

y+6 = 0

y+6 = 0

y+6 = 0 // - 6

y = -6

y+2 = 0

y+2 = 0

y+2 = 0 // - 2

y = -2

y in (-oo:-6) U (-6:-2) U (-2:+oo)

1/(y+2)+1/(y+6) = 1 // - 1

1/(y+2)+1/(y+6)-1 = 0

(1*(y+6))/((y+2)*(y+6))+(1*(y+2))/((y+2)*(y+6))+(-1*(y+2)*(y+6))/((y+2)*(y+6)) = 0

1*(y+6)+1*(y+2)-1*(y+2)*(y+6) = 0

2*y-y^2-8*y-12+8 = 0

-y^2-6*y-4 = 0

-y^2-6*y-4 = 0

-1*(y^2+6*y+4) = 0

y^2+6*y+4 = 0

DELTA = 6^2-(1*4*4)

DELTA = 20

DELTA > 0

y = (20^(1/2)-6)/(1*2) or y = (-20^(1/2)-6)/(1*2)

y = (2*5^(1/2)-6)/2 or y = (-2*5^(1/2)-6)/2

-1*(y-((-2*5^(1/2)-6)/2))*(y-((2*5^(1/2)-6)/2)) = 0

(-1*(y-((-2*5^(1/2)-6)/2))*(y-((2*5^(1/2)-6)/2)))/((y+2)*(y+6)) = 0

(-1*(y-((-2*5^(1/2)-6)/2))*(y-((2*5^(1/2)-6)/2)))/((y+2)*(y+6)) = 0 // * (y+2)*(y+6)

-1*(y-((-2*5^(1/2)-6)/2))*(y-((2*5^(1/2)-6)/2)) = 0

( y-((-2*5^(1/2)-6)/2) )

y-((-2*5^(1/2)-6)/2) = 0 // + (-2*5^(1/2)-6)/2

y = (-2*5^(1/2)-6)/2

( y-((2*5^(1/2)-6)/2) )

y-((2*5^(1/2)-6)/2) = 0 // + (2*5^(1/2)-6)/2

y = (2*5^(1/2)-6)/2

y in { (-2*5^(1/2)-6)/2, (2*5^(1/2)-6)/2 }

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