50/(x-6)=50/x+55/60

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Solution for 50/(x-6)=50/x+55/60 equation: 


D( x )

x-6 = 0

x = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x = 0

x = 0

x in (-oo:0) U (0:6) U (6:+oo)

50/(x-6) = 50/x+55/60 // - 50/x+55/60

50/(x-6)-(50/x)-(55/60) = 0

50/(x-6)-50*x^-1-11/12 = 0

50/(x-6)-50/x-11/12 = 0

(12*50*x)/(12*x*(x-6))+(-50*12*(x-6))/(12*x*(x-6))+(-11*x*(x-6))/(12*x*(x-6)) = 0

12*50*x-50*12*(x-6)-11*x*(x-6) = 0

66*x-11*x^2+3600 = 0

66*x-11*x^2+3600 = 0

66*x-11*x^2+3600 = 0

DELTA = 66^2-(-11*4*3600)

DELTA = 162756

DELTA > 0

x = (162756^(1/2)-66)/(-11*2) or x = (-162756^(1/2)-66)/(-11*2)

x = (6*4521^(1/2)-66)/(-22) or x = (-6*4521^(1/2)-66)/(-22)

(x-((6*4521^(1/2)-66)/(-22)))*(x-((-6*4521^(1/2)-66)/(-22))) = 0

((x-((6*4521^(1/2)-66)/(-22)))*(x-((-6*4521^(1/2)-66)/(-22))))/(12*x*(x-6)) = 0

((x-((6*4521^(1/2)-66)/(-22)))*(x-((-6*4521^(1/2)-66)/(-22))))/(12*x*(x-6)) = 0 // * 12*x*(x-6)

(x-((6*4521^(1/2)-66)/(-22)))*(x-((-6*4521^(1/2)-66)/(-22))) = 0

( x-((-6*4521^(1/2)-66)/(-22)) )

x-((-6*4521^(1/2)-66)/(-22)) = 0 // + (-6*4521^(1/2)-66)/(-22)

x = (-6*4521^(1/2)-66)/(-22)

( x-((6*4521^(1/2)-66)/(-22)) )

x-((6*4521^(1/2)-66)/(-22)) = 0 // + (6*4521^(1/2)-66)/(-22)

x = (6*4521^(1/2)-66)/(-22)

x in { (-6*4521^(1/2)-66)/(-22), (6*4521^(1/2)-66)/(-22) }

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