1/x+1/(x+21)=1/14

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Solution for 1/x+1/(x+21)=1/14 equation: 


D( x )

x = 0

x+21 = 0

x = 0

x = 0

x+21 = 0

x+21 = 0

x+21 = 0 // - 21

x = -21

x in (-oo:-21) U (-21:0) U (0:+oo)

1/(x+21)+1/x = 1/14 // - 1/14

1/(x+21)+1/x-(1/14) = 0

1/(x+21)+1/x-1/14 = 0

(1*14*x)/(14*x*(x+21))+(1*14*(x+21))/(14*x*(x+21))+(-1*x*(x+21))/(14*x*(x+21)) = 0

1*14*(x+21)-1*x*(x+21)+1*14*x = 0

28*x-x^2-21*x+294 = 0

7*x-x^2+294 = 0

7*x-x^2+294 = 0

7*x-x^2+294 = 0

DELTA = 7^2-(-1*4*294)

DELTA = 1225

DELTA > 0

x = (1225^(1/2)-7)/(-1*2) or x = (-1225^(1/2)-7)/(-1*2)

x = -14 or x = 21

(x+14)*(x-21) = 0

((x+14)*(x-21))/(14*x*(x+21)) = 0

((x+14)*(x-21))/(14*x*(x+21)) = 0 // * 14*x*(x+21)

(x+14)*(x-21) = 0

( x+14 )

x+14 = 0 // - 14

x = -14

( x-21 )

x-21 = 0 // + 21

x = 21

x in { -14, 21 }

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