5+x-sqrt(3+4x)=0;
(5+x)^2=3+4x;
25+10x+x^2=3+4x;
x^2+6x+22=0. Using the formula we have as the discriminant 36-88 which is negative, so the square root cannot exist as a real number. Therefore there are no solutions, and this can be seen from the graph of the quadratic expression, which doesn't intercept the x axis.