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

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


D( t )

t = 0

t+4 = 0

t = 0

t = 0

t+4 = 0

t+4 = 0

t+4 = 0 // - 4

t = -4

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

6*(1/(t+4))+6*(1/t) = 1 // - 1

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

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

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

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

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

8*t-t^2+24 = 0

8*t-t^2+24 = 0

8*t-t^2+24 = 0

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

DELTA = 160

DELTA > 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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