Question

Solve the equation.
sqrt 2z+3=1- sqrt z+1=

z=

Answer 1

square both sides...

Answer 2

sqrt 2z+3=1- sqrt z+1=
sqrt( 2z+3)=1- sqrt (z+1)...squaring both sides to get
2z+3=1-2sqrt(z+1)+z+1
2z-z+3-2=2sqrt(z+1)
z+1=2sqrt(z+1),,squaring both sides again to get
z^2 +2z+1=4(z+1)
z^2 +2z+1=4z+4
z^2-2z-3=0,factoring
(z-3)(z+1)=0
z=3 and z=-1 ans