SOLUTION: Hi. I'm having trouble finishing this equation. Can you help me? Find all real solutions of the following equation. √9x + 100 = x - 10

Algebra ->  Equations -> SOLUTION: Hi. I'm having trouble finishing this equation. Can you help me? Find all real solutions of the following equation. √9x + 100 = x - 10       Log On


   

Question 121387: Hi. I'm having trouble finishing this equation. Can you help me?
Find all real solutions of the following equation.
√9x + 100 = x - 10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%289x%2B100%29=x-10
9x%2B100=%28x-10%29%5E2Square both sides.
9x%2B100=x%5E2-20x%2B100 Expand the right hand side.
0=x%5E2-29x Subtract (9x+100) from both sides.
x%28x-29%29=0
Two solutions:
highlight%28x=0%29
and
x-29=0
highlight%28x=29%29