Math 3 Quiz
18 questions · no time limit
0:00
ALGEBRA & FUNCTIONS
Question 1 of 18
No time limit
Current
Answered
Flagged
Not seen
When solving x2−9=x−3\sqrt{x^2-9} = x-3, a student squares both sides to get x2−9=(x−3)2x^2-9 = (x-3)^2, which simplifies to x2−9=x2−6x+9x^2-9 = x^2-6x+9, leading to x=3x = 3. However, substituting x=3x = 3 into the original equation yields 0=00 = 0, which seems to confirm the solution, yet further analysis reveals an issue. What subtle problem explains why x=3x = 3 might be considered extraneous?
YOUR PROGRESS
18
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
KEYBOARD
Pick an answer ABCD
Next question ↵→
Previous ←
Flag for review F
Answers save as you go · flagged questions come back at the end