Question

Jean says that you can take the square root of each side of an equation. Therefore, she decides that (x - 2)2 + (y + 3)2 = 36 and

(x - 2) + (y + 3) = 6 are equuivalent equations. Marco says that the equations are not equivalent. Who is right? Explain your answer.

Answer 1

This is not true. :P

Answer 2

not equivalent

(x - 2) + (y + 3) = 6 if you square both sides you get

(x - 2)^2 + (y + 3)^2 +2(x-2)(y+3) = 36

Answer 3

Take, for example,\[2^2+3^2=4+9=13\]\[2+3=5\]and\[\sqrt{13}\neq5\]