(2+3t)/(5-t)+(3-2t)/(2-2t)

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Solution for (2+3t)/(5-t)+(3-2t)/(2-2t) equation:


D( t )

2-(2*t) = 0

5-t = 0

2-(2*t) = 0

2-(2*t) = 0

2-2*t = 0

2-2*t = 0 // - 2

-2*t = -2 // : -2

t = -2/(-2)

t = 1

5-t = 0

5-t = 0

5-t = 0 // - 5

-t = -5 // * -1

t = 5

t in (-oo:1) U (1:5) U (5:+oo)

(3*t+2)/(5-t)+(3-(2*t))/(2-(2*t)) = 0

(3*t+2)/(5-t)+(3-2*t)/(2-2*t) = 0

((3*t+2)*(2-2*t))/((5-t)*(2-2*t))+((3-2*t)*(5-t))/((5-t)*(2-2*t)) = 0

(3*t+2)*(2-2*t)+(3-2*t)*(5-t) = 0

19-4*t^2-11*t = 0

19-4*t^2-11*t = 0

19-4*t^2-11*t = 0

DELTA = (-11)^2-(-4*4*19)

DELTA = 425

DELTA > 0

t = (425^(1/2)+11)/(-4*2) or t = (11-425^(1/2))/(-4*2)

t = (5*17^(1/2)+11)/(-8) or t = (11-5*17^(1/2))/(-8)

(t-((5*17^(1/2)+11)/(-8)))*(t-((11-5*17^(1/2))/(-8))) = 0

((t-((5*17^(1/2)+11)/(-8)))*(t-((11-5*17^(1/2))/(-8))))/((5-t)*(2-2*t)) = 0

((t-((5*17^(1/2)+11)/(-8)))*(t-((11-5*17^(1/2))/(-8))))/((5-t)*(2-2*t)) = 0 // * (5-t)*(2-2*t)

(t-((5*17^(1/2)+11)/(-8)))*(t-((11-5*17^(1/2))/(-8))) = 0

( t-((11-5*17^(1/2))/(-8)) )

t-((11-5*17^(1/2))/(-8)) = 0 // + (11-5*17^(1/2))/(-8)

t = (11-5*17^(1/2))/(-8)

( t-((5*17^(1/2)+11)/(-8)) )

t-((5*17^(1/2)+11)/(-8)) = 0 // + (5*17^(1/2)+11)/(-8)

t = (5*17^(1/2)+11)/(-8)

t in { (11-5*17^(1/2))/(-8), (5*17^(1/2)+11)/(-8) }

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