x2 - 1/ x-1 = -2What are all values of x that satisfy the equation above?
Correct answer: A. -3
- A. -3
- B. 0
- C. 1
- D. -3 and -1
Explanation
Choice A is correct. Factoring the numerator of the rational expression x2 − 1/ x − 1 yields (x + 1)(x − 1) / x − 1 . The expression (x + 1)(x − 1) / x − 1 can be rewritten as ( x + 1/ 1 )( x − 1/ x − 1. Since x−1 /x−1 = 1, when x is not equal to 1, it follows that (x+1/1)( x−1/x−1) = ( x + 1/1 )(1) or x + 1. Therefore, the given equation is equivalent to x + 1 = −2. Subtracting 1 from both sides of x + 1 = −2 yields x = −3.
Last updated
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
505 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
If 2m=4x and 2w = 8x, what is m in terms of w?
The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?
If Lines AB||CD, then e = ?
Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?