Advanced MathVery hardRewriting a rational expression as 1 plus a fraction
Advanced Math practice question
For x > 2, the expression (x² − 4)/(x² − 2x) is equivalent to 1 + k/x, where k is a constant. What is the value of k?
Answer: 2
(x − 2)(x + 2) over x(x − 2) is (x + 2)/x = 1 + 2/x.
Common wrong answers
- If you answered 1
- 1 is the whole-number part, not k.
- If you answered 4
- 4 copies the constant in the numerator.
- If you answered -2
- −2 has the sign wrong.
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