(c+1)/(c-5)+(c-2)/(c^2-7c+10)

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Solution for (c+1)/(c-5)+(c-2)/(c^2-7c+10) equation: 


D( c )

c-5 = 0

c^2-(7*c)+10 = 0

c-5 = 0

c-5 = 0

c-5 = 0 // + 5

c = 5

c^2-(7*c)+10 = 0

c^2-(7*c)+10 = 0

c^2-7*c+10 = 0

c^2-7*c+10 = 0

DELTA = (-7)^2-(1*4*10)

DELTA = 9

DELTA > 0

c = (9^(1/2)+7)/(1*2) or c = (7-9^(1/2))/(1*2)

c = 5 or c = 2

c in (-oo:2) U (2:5) U (5:+oo)

(c+1)/(c-5)+(c-2)/(c^2-(7*c)+10) = 0

(c+1)/(c-5)+(c-2)/(c^2-7*c+10) = 0

c^2-7*c+10 = 0

c^2-7*c+10 = 0

c^2-7*c+10 = 0

DELTA = (-7)^2-(1*4*10)

DELTA = 9

DELTA > 0

c = (9^(1/2)+7)/(1*2) or c = (7-9^(1/2))/(1*2)

c = 5 or c = 2

(c-2)*(c-5) = 0

(c+1)/(c-5)+(c-2)/((c-2)*(c-5)) = 0

((c+1)*(c-2))/((c-5)*(c-2))+(c-2)/((c-5)*(c-2)) = 0

(c+1)*(c-2)+c-2 = 0

c^2-4 = 0

(c^2-4)/((c-5)*(c-2)) = 0

(c^2-4)/((c-5)*(c-2)) = 0 // * (c-5)*(c-2)

c^2-4 = 0

1*c^2 = 4 // : 1

c^2 = 4

c^2 = 4 // ^ 1/2

abs(c) = 2

c = 2 or c = -2

c in { 2} 

c = -2

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