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 the equations are not equivalent. Who is right? Explain.

Question

jdoe0001 · Answer

$\bf (x+2)^{\color{red}{ 2}}+(y-5)^{\color{red}{ 2}}=36 \implies (x+2)(x+2)+(y-5)(y-5)=36$

expand the left side, see if the equation gives $\bf (x+2)+(y-5)=6$

triciaal · Answer

Dana is right 
to prove follow the instructions above