41/(4t-8)=t+8/8

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Solution for 41/(4t-8)=t+8/8 equation: 


D( t )

4*t-8 = 0

4*t-8 = 0

4*t-8 = 0

4*t-8 = 0 // + 8

4*t = 8 // : 4

t = 8/4

t = 2

t in (-oo:2) U (2:+oo)

41/(4*t-8) = t+8/8 // - t+8/8

41/(4*t-8)-t-(8/8) = 0

41/(4*t-8)-t-1 = 0

41/(4*t-8)+(-t*(4*t-8))/(4*t-8)+(-1*(4*t-8))/(4*t-8) = 0

41-t*(4*t-8)-1*(4*t-8) = 0

8*t-4*t^2-4*t+8+41 = 0

4*t-4*t^2+49 = 0

4*t-4*t^2+49 = 0

4*t-4*t^2+49 = 0

DELTA = 4^2-(-4*4*49)

DELTA = 800

DELTA > 0

t = (800^(1/2)-4)/(-4*2) or t = (-800^(1/2)-4)/(-4*2)

t = (20*2^(1/2)-4)/(-8) or t = (-20*2^(1/2)-4)/(-8)

(t-((20*2^(1/2)-4)/(-8)))*(t-((-20*2^(1/2)-4)/(-8))) = 0

((t-((20*2^(1/2)-4)/(-8)))*(t-((-20*2^(1/2)-4)/(-8))))/(4*t-8) = 0

((t-((20*2^(1/2)-4)/(-8)))*(t-((-20*2^(1/2)-4)/(-8))))/(4*t-8) = 0 // * 4*t-8

(t-((20*2^(1/2)-4)/(-8)))*(t-((-20*2^(1/2)-4)/(-8))) = 0

( t-((-20*2^(1/2)-4)/(-8)) )

t-((-20*2^(1/2)-4)/(-8)) = 0 // + (-20*2^(1/2)-4)/(-8)

t = (-20*2^(1/2)-4)/(-8)

( t-((20*2^(1/2)-4)/(-8)) )

t-((20*2^(1/2)-4)/(-8)) = 0 // + (20*2^(1/2)-4)/(-8)

t = (20*2^(1/2)-4)/(-8)

t in { (-20*2^(1/2)-4)/(-8), (20*2^(1/2)-4)/(-8) }

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