Question 434917
{{{2 - sqrt(x+1) = sqrt(x+3)}}}
Squaring both sides gives:
{{{4 - 4*sqrt(x+1) + (x+1) = x + 3}}}
Collect terms:
{{{2 = 4*sqrt(x+1)}}} -> {{{1/2 = sqrt(x+1)}}}
Square both sides:
{{{1/4 = x + 1}}}
This gives x = -3/4
Check:
{{{2 - sqrt(1/4) = sqrt(9/4)}}}
1.5 = 1.5