JAMB 2017 Mathematics · Question 4
The value of x + x ( xx) when x = 2 is
Options
- A.16
- B.10
- C.18
- D.24
Answer: B. 10
Explanation written with AI and checked against the answer key
The question as written, "x + x(xx)", is a bit ambiguous. In the original JAMB paper, the expression is most likely x + x(x^x), where the "xx" is a lost superscript. Let me check both readings.
Reading 1: xx means x × x (that is, x²)
x + x(x·x) = x + x³ = 2 + 2(4) = 2 + 8 = 10
Reading 2: xx means x^x
x + x(x^x) = 2 + 2(2²) = 2 + 2(4) = 2 + 8 = 10
Both readings give the same result, because when x = 2, x^x = 2² = 4 and x·x = 4 as well.
Step-by-step solution
- Substitute x = 2: 2 + 2(2 × 2)
- Work out the bracket first (BODMAS): 2 × 2 = 4
- Multiply: 2 × 4 = 8
- Add: 2 + 8 = 10
Answer: B (10)
Tip: Always follow BODMAS: Brackets, Orders (powers), Division, Multiplication, Addition, Subtraction. Do the bracket first, then multiply, and add last. Also, when you see a garbled expression in a question, test the possible readings. Here both give the same answer, so you can answer confidently.
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