Question 12
SurdsSolve the equation √x − √(x − 2) − 1 = 0
- A.3/2
- B.2/3
- C.4/9
- D.9/4
Show the answer and explanation
Answer: D (9/4)
Explanation
√x = 1 + √(x − 2). Squaring: x = 1 + 2√(x − 2) + x − 2, so √(x − 2) = 1/2, x − 2 = 1/4 and x = 9/4.
Solve the equation √x − √(x − 2) − 1 = 0
Answer: D (9/4)
√x = 1 + √(x − 2). Squaring: x = 1 + 2√(x − 2) + x − 2, so √(x − 2) = 1/2, x − 2 = 1/4 and x = 9/4.