A teacher asked students why it is necessary to check for extraneous roots when squaring both sides of the equation. Which of the following answers is the best? Is this answer complete? Explain.
(A) Because the squared equation can have negative roots.
B) Because squaring is multiplication, and any multiplication is a potential source of extraneous roots.
(C) Because when you square both sides of the equation, you add to the solution set the roots of the equation a=-b .
(D) Because any operation with an equation may result in extraneous roots.