(1/x)+(1/(x+4))=(1/15)

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Solution for (1/x)+(1/(x+4))=(1/15) equation: 


D( x )

x+4 = 0

x = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x = 0

x = 0

x in (-oo:-4) U (-4:0) U (0:+oo)

1/(x+4)+1/x = 1/15 // - 1/15

1/(x+4)+1/x-(1/15) = 0

1/(x+4)+1/x-1/15 = 0

(1*15*x)/(15*x*(x+4))+(1*15*(x+4))/(15*x*(x+4))+(-1*x*(x+4))/(15*x*(x+4)) = 0

1*15*(x+4)-1*x*(x+4)+1*15*x = 0

30*x-x^2-4*x+60 = 0

26*x-x^2+60 = 0

26*x-x^2+60 = 0

26*x-x^2+60 = 0

DELTA = 26^2-(-1*4*60)

DELTA = 916

DELTA > 0

x = (916^(1/2)-26)/(-1*2) or x = (-916^(1/2)-26)/(-1*2)

x = (2*229^(1/2)-26)/(-2) or x = (-2*229^(1/2)-26)/(-2)

(x-((2*229^(1/2)-26)/(-2)))*(x-((-2*229^(1/2)-26)/(-2))) = 0

((x-((2*229^(1/2)-26)/(-2)))*(x-((-2*229^(1/2)-26)/(-2))))/(15*x*(x+4)) = 0

((x-((2*229^(1/2)-26)/(-2)))*(x-((-2*229^(1/2)-26)/(-2))))/(15*x*(x+4)) = 0 // * 15*x*(x+4)

(x-((2*229^(1/2)-26)/(-2)))*(x-((-2*229^(1/2)-26)/(-2))) = 0

( x-((-2*229^(1/2)-26)/(-2)) )

x-((-2*229^(1/2)-26)/(-2)) = 0 // + (-2*229^(1/2)-26)/(-2)

x = (-2*229^(1/2)-26)/(-2)

( x-((2*229^(1/2)-26)/(-2)) )

x-((2*229^(1/2)-26)/(-2)) = 0 // + (2*229^(1/2)-26)/(-2)

x = (2*229^(1/2)-26)/(-2)

x in { (-2*229^(1/2)-26)/(-2), (2*229^(1/2)-26)/(-2) }

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