SOLUTION: Kurt says that you can take the square root of each side of an equation. Therefore, he says that (x+2)^2+(y-5)^2=36 and (x+2)+(y-5)=6 are equivalent equations. Dana says they are

Algebra ->  Rational-functions -> SOLUTION: Kurt says that you can take the square root of each side of an equation. Therefore, he says that (x+2)^2+(y-5)^2=36 and (x+2)+(y-5)=6 are equivalent equations. Dana says they are      Log On


   

Question 852522: Kurt says that you can take the square root of each side of an equation. Therefore, he says that (x+2)^2+(y-5)^2=36 and (x+2)+(y-5)=6 are equivalent equations. Dana says they are NOT. Who is right? Explain your answer.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Dana is correct.
3%2B2=5
According to Kurt,
3%5E2%2B2%5E2=5%5E2
9%2B4=25
Oops that's not right.
There are additional terms,
.
.
Now the right way,
3%2B2=5
Square both sides.
%283%2B2%29%283%2B2%29=5%2A5
Using the FOIL method,
3%2A3%2B3%2A2%2B2%2A3%2B2%2A2=5%2A5
9%2B6%2B6%2B4=25
25=25