1/A+1/(A+4)=1/6

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Solution for 1/A+1/(A+4)=1/6 equation: 


D( A )

A+4 = 0

A = 0

A+4 = 0

A+4 = 0

A+4 = 0 // - 4

A = -4

A = 0

A = 0

A in (-oo:-4) U (-4:0) U (0:+oo)

1/(A+4)+1/A = 1/6 // - 1/6

1/(A+4)+1/A-(1/6) = 0

1/(A+4)+1/A-1/6 = 0

(1*6*A)/(6*A*(A+4))+(1*6*(A+4))/(6*A*(A+4))+(-1*A*(A+4))/(6*A*(A+4)) = 0

1*6*(A+4)-1*A*(A+4)+1*6*A = 0

12*A-A^2-4*A+24 = 0

8*A-A^2+24 = 0

8*A-A^2+24 = 0

8*A-A^2+24 = 0

DELTA = 8^2-(-1*4*24)

DELTA = 160

DELTA > 0

A = (160^(1/2)-8)/(-1*2) or A = (-160^(1/2)-8)/(-1*2)

A = (4*10^(1/2)-8)/(-2) or A = (-4*10^(1/2)-8)/(-2)

(A-((4*10^(1/2)-8)/(-2)))*(A-((-4*10^(1/2)-8)/(-2))) = 0

((A-((4*10^(1/2)-8)/(-2)))*(A-((-4*10^(1/2)-8)/(-2))))/(6*A*(A+4)) = 0

((A-((4*10^(1/2)-8)/(-2)))*(A-((-4*10^(1/2)-8)/(-2))))/(6*A*(A+4)) = 0 // * 6*A*(A+4)

(A-((4*10^(1/2)-8)/(-2)))*(A-((-4*10^(1/2)-8)/(-2))) = 0

( A-((-4*10^(1/2)-8)/(-2)) )

A-((-4*10^(1/2)-8)/(-2)) = 0 // + (-4*10^(1/2)-8)/(-2)

A = (-4*10^(1/2)-8)/(-2)

( A-((4*10^(1/2)-8)/(-2)) )

A-((4*10^(1/2)-8)/(-2)) = 0 // + (4*10^(1/2)-8)/(-2)

A = (4*10^(1/2)-8)/(-2)

A in { (-4*10^(1/2)-8)/(-2), (4*10^(1/2)-8)/(-2) }

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