SOLUTION: Solve the equation (Enter your answers as a comma separated list.) Sqrt(2z+3)=1-sqrt(z+1)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Solve the equation (Enter your answers as a comma separated list.) Sqrt(2z+3)=1-sqrt(z+1)      Log On


   

Question 903243: Solve the equation (Enter your answers as a comma separated list.)
Sqrt(2z+3)=1-sqrt(z+1)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation (Enter your answers as a comma separated list.)
Sqrt(2z+3)=1-sqrt(z+1)
sqrt%282z%2B3%29=1-sqrt%28z%2B1%29
square both sides
2z%2B3=1-2sqrt%28z%2B1%29%2B%28z%2B1%29
z%2B1=-2sqrt%28z%2B1%29
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