Question 10
SurdsIf √(x2 + 9) = x + 1, solve for x.
- A.5
- B.4
- C.3
- D.1
Show the answer and explanation
Answer: B (4)
Explanation
Square both sides: x² + 9 = x² + 2x + 1, so 2x = 8 and x = 4 (check: √25 = 5 = 4 + 1).
If √(x2 + 9) = x + 1, solve for x.
Answer: B (4)
Square both sides: x² + 9 = x² + 2x + 1, so 2x = 8 and x = 4 (check: √25 = 5 = 4 + 1).