Question 785009
{{{(x-1)/(x+2)=(2x-3)/(x+4)}}}


cross multiply

(x-1)(x+4)=(2x-3)(x+2)



{{{x(x+4)-1(x+4)=2x(x+2)-3(x+2)}}}


{{{x^2+4x-x-4=2x^2+4x-3x-6}}}

re arrange

{{{2x^2-x^2+4x-3x-4x+x=-4+6}}}

{{{x^2-2x-2=0}}}


{{{x^2-2x+1= 2+1}}}

{{{(x+1)^2=3}}}

x+1 = +/- sqrt(3)

x= 1+sqrt(3) OR 1-sqrt(3)


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