(7x-1)/(x+2)-(2x+3)/(x+1)-4=0

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Solution for (7x-1)/(x+2)-(2x+3)/(x+1)-4=0 equation:


D( x )

x+2 = 0

x+1 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-2) U (-2:-1) U (-1:+oo)

(7*x-1)/(x+2)-((2*x+3)/(x+1))-4 = 0

(7*x-1)/(x+2)+(-1*(2*x+3))/(x+1)-4 = 0

((7*x-1)*(x+1))/((x+2)*(x+1))+(-1*(2*x+3)*(x+2))/((x+2)*(x+1))+(-4*(x+2)*(x+1))/((x+2)*(x+1)) = 0

(7*x-1)*(x+1)-1*(2*x+3)*(x+2)-4*(x+2)*(x+1) = 0

5*x^2-4*x^2-x-12*x-8-7 = 0

x^2-13*x-15 = 0

x^2-13*x-15 = 0

x^2-13*x-15 = 0

DELTA = (-13)^2-(-15*1*4)

DELTA = 229

DELTA > 0

x = (229^(1/2)+13)/(1*2) or x = (13-229^(1/2))/(1*2)

x = (229^(1/2)+13)/2 or x = (13-229^(1/2))/2

(x-((13-229^(1/2))/2))*(x-((229^(1/2)+13)/2)) = 0

((x-((13-229^(1/2))/2))*(x-((229^(1/2)+13)/2)))/((x+2)*(x+1)) = 0

((x-((13-229^(1/2))/2))*(x-((229^(1/2)+13)/2)))/((x+2)*(x+1)) = 0 // * (x+2)*(x+1)

(x-((13-229^(1/2))/2))*(x-((229^(1/2)+13)/2)) = 0

( x-((13-229^(1/2))/2) )

x-((13-229^(1/2))/2) = 0 // + (13-229^(1/2))/2

x = (13-229^(1/2))/2

( x-((229^(1/2)+13)/2) )

x-((229^(1/2)+13)/2) = 0 // + (229^(1/2)+13)/2

x = (229^(1/2)+13)/2

x in { (13-229^(1/2))/2, (229^(1/2)+13)/2 }

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