(2/x)+(3/(x-3))=1

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Solution for (2/x)+(3/(x-3))=1 equation:


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

3/(x-3)+2/x = 1 // - 1

3/(x-3)+2/x-1 = 0

(3*x)/(x*(x-3))+(2*(x-3))/(x*(x-3))+(-1*x*(x-3))/(x*(x-3)) = 0

2*(x-3)-1*x*(x-3)+3*x = 0

5*x-x^2+3*x-6 = 0

8*x-x^2-6 = 0

8*x-x^2-6 = 0

8*x-x^2-6 = 0

DELTA = 8^2-(-6*(-1)*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)-8)/(-1*2) or x = (-40^(1/2)-8)/(-1*2)

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

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

((x-((2*10^(1/2)-8)/(-2)))*(x-((-2*10^(1/2)-8)/(-2))))/(x*(x-3)) = 0

((x-((2*10^(1/2)-8)/(-2)))*(x-((-2*10^(1/2)-8)/(-2))))/(x*(x-3)) = 0 // * x*(x-3)

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

( x-((-2*10^(1/2)-8)/(-2)) )

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

x = (-2*10^(1/2)-8)/(-2)

( x-((2*10^(1/2)-8)/(-2)) )

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

x = (2*10^(1/2)-8)/(-2)

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

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