Question 903243
Solve the equation (Enter your answers as a comma separated list.)
Sqrt(2z+3)=1-sqrt(z+1)
{{{sqrt(2z+3)=1-sqrt(z+1)}}}
square both sides
{{{2z+3=1-2sqrt(z+1)+(z+1)}}}
{{{z+1=-2sqrt(z+1)}}}
square both sides again
z^2+2z+1=4(z+1)
z^2+2z+1=4z+4)
z^2-2z-3=0
(z-3)(z+1)=0
z=3,-1