4t^2-8t/(18-9t)

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Solution for 4t^2-8t/(18-9t) equation:


D( t )

18-(9*t) = 0

18-(9*t) = 0

18-(9*t) = 0

18-9*t = 0

18-9*t = 0 // - 18

-9*t = -18 // : -9

t = -18/(-9)

t = 2

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

4*t^2-((8*t)/(18-(9*t))) = 0

4*t^2-8*t*(18-9*t)^-1 = 0

(-8*t)/(18-9*t)+4*t^2 = 0

(-8*t)/(18-9*t)+(4*t^2*(18-9*t))/(18-9*t) = 0

4*t^2*(18-9*t)-8*t = 0

72*t^2-36*t^3-8*t = 0

72*t^2-36*t^3-8*t = 0

4*t*(18*t-9*t^2-2) = 0

18*t-9*t^2-2 = 0

DELTA = 18^2-(-9*(-2)*4)

DELTA = 252

DELTA > 0

t = (252^(1/2)-18)/(-9*2) or t = (-252^(1/2)-18)/(-9*2)

t = (6*7^(1/2)-18)/(-18) or t = (-6*7^(1/2)-18)/(-18)

4*t*(t-((6*7^(1/2)-18)/(-18)))*(t-((-6*7^(1/2)-18)/(-18))) = 0

(4*t*(t-((6*7^(1/2)-18)/(-18)))*(t-((-6*7^(1/2)-18)/(-18))))/(18-9*t) = 0

(4*t*(t-((6*7^(1/2)-18)/(-18)))*(t-((-6*7^(1/2)-18)/(-18))))/(18-9*t) = 0 // * 18-9*t

4*t*(t-((6*7^(1/2)-18)/(-18)))*(t-((-6*7^(1/2)-18)/(-18))) = 0

( 4*t )

4*t = 0 // : 4

t = 0

( t-((-6*7^(1/2)-18)/(-18)) )

t-((-6*7^(1/2)-18)/(-18)) = 0 // + (-6*7^(1/2)-18)/(-18)

t = (-6*7^(1/2)-18)/(-18)

( t-((6*7^(1/2)-18)/(-18)) )

t-((6*7^(1/2)-18)/(-18)) = 0 // + (6*7^(1/2)-18)/(-18)

t = (6*7^(1/2)-18)/(-18)

t in { 0, (-6*7^(1/2)-18)/(-18), (6*7^(1/2)-18)/(-18) }

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