Question 965247
{{{1/(x+3)+1/(x+4)=1}}}
Multiply both sides by {{{(x+3)(x+4)}}}
{{{(x+4)+(x+3)=(x+3)(x+4)}}}
{{{2x+7=x^2+7x+12}}}
{{{x^2+5x+5=0}}}
Complete the square,
{{{x^2+5x+(5/2)^2+5=(5/2)^2}}}
{{{(x+5/2)^2=25/4-20/4}}}
{{{(x+5/2)^2=5/4}}}
{{{x+5/2=0 +- sqrt(5)/2}}}
{{{x=-5/2 +- sqrt(5)/2}}}
{{{x=(-5 +- sqrt(5))/2}}}
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*[illustration da3.JPG].