Question 168324
with the givens we know that PQ = PR, because sides opposite congruent angles are equal.

{{{x+1=sqrt(x+3)}}} now square both sides and we will eliminate the squareroot

{{{(x+1)^2=x+3}}}
{{{x^2+2x+2=x+3}}}
{{{x^2+x-2=0}}}now factor

{{{(x+2)(x-1)=0}}}

so x=1 and -2...throw out the negative value

and x=1 and PR=2