SOLUTION: Find all real solutions of the equation. sqrt (5z+9) = z-3 I've tried and tried. I keep getting z= o z=1 , and my hw program says I'm wrong. Not sure what I'm doing wron

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all real solutions of the equation. sqrt (5z+9) = z-3 I've tried and tried. I keep getting z= o z=1 , and my hw program says I'm wrong. Not sure what I'm doing wron      Log On


   

Question 881501: Find all real solutions of the equation.
sqrt (5z+9) = z-3
I've tried and tried. I keep getting z= o z=1 , and my hw program says I'm wrong.
Not sure what I'm doing wrong.
Thanks,
Alicia
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285z%2B9%29=z-3
%28sqrt%285z%2B9%29%29%5E2=5z%2B9=%28z-3%29%5E2
5z%2B9=z%5E2-6z%2B9
z%5E2-6z-5z%2B9-9=0, includes symmetric property of equality
z%5E2-11z=0, FACTORABLE.
z%28z-11%29=0

z=0 OR z=11