Question

x^2- sqr7 +1= sqr3 x +2

Answer 1

 

$x^2-sqrt7+1=sqrt3 x+2, \ x^2-sqrt3 x-sqrt7-1=0, \ D=(-sqrt3)^2-4(-sqrt7-1)=3+4sqrt7+4=4sqrt7+7, \ x_{1,2}=frac{sqrt3pmsqrt{4sqrt7+7}}{2}$