((10)/(x-5))+((10)/(x+5))=3

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Solution for ((10)/(x-5))+((10)/(x+5))=3 equation: 


D( x )

x-5 = 0

x+5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:5) U (5:+oo)

10/(x-5)+10/(x+5) = 3 // - 3

10/(x-5)+10/(x+5)-3 = 0

(10*(x+5))/((x-5)*(x+5))+(10*(x-5))/((x-5)*(x+5))+(-3*(x-5)*(x+5))/((x-5)*(x+5)) = 0

10*(x+5)+10*(x-5)-3*(x-5)*(x+5) = 0

20*x-3*x^2+75 = 0

20*x-3*x^2+75 = 0

20*x-3*x^2+75 = 0

DELTA = 20^2-(-3*4*75)

DELTA = 1300

DELTA > 0

x = (1300^(1/2)-20)/(-3*2) or x = (-1300^(1/2)-20)/(-3*2)

x = (10*13^(1/2)-20)/(-6) or x = (-10*13^(1/2)-20)/(-6)

(x-((10*13^(1/2)-20)/(-6)))*(x-((-10*13^(1/2)-20)/(-6))) = 0

((x-((10*13^(1/2)-20)/(-6)))*(x-((-10*13^(1/2)-20)/(-6))))/((x-5)*(x+5)) = 0

((x-((10*13^(1/2)-20)/(-6)))*(x-((-10*13^(1/2)-20)/(-6))))/((x-5)*(x+5)) = 0 // * (x-5)*(x+5)

(x-((10*13^(1/2)-20)/(-6)))*(x-((-10*13^(1/2)-20)/(-6))) = 0

( x-((-10*13^(1/2)-20)/(-6)) )

x-((-10*13^(1/2)-20)/(-6)) = 0 // + (-10*13^(1/2)-20)/(-6)

x = (-10*13^(1/2)-20)/(-6)

( x-((10*13^(1/2)-20)/(-6)) )

x-((10*13^(1/2)-20)/(-6)) = 0 // + (10*13^(1/2)-20)/(-6)

x = (10*13^(1/2)-20)/(-6)

x in { (-10*13^(1/2)-20)/(-6), (10*13^(1/2)-20)/(-6) }

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