Question

sqrt(1+x*sqrt(x^2+12))=x+1

Answer 1

$1+x* sqrt{ x^{2} +12} = x^{2} +2x+1 \ sqrt{ x^{2} +12} =( x^{2} +2x)/x \ sqrt{ x^{2} +12} =x+2 \ x^{2} +12=2 x^{2} +4x+16 \ x^{2} +4x+4=0 \ D=0 \ x= frac{-4}{2*1} =-2$