Question 6Asked in BPSC TRE 1.0 (2023) General Studies Class 1-5 (1st Sitting)

The solution of 4ˣ⁺¹ + 4¹⁻ˣ = 10 is4ˣ⁺¹ + 4¹⁻ˣ = 10 का हल है

4ˣ⁺¹ + 4¹⁻ˣ = 10 का हल है
  1. A-1/2-1/2
  2. B1/21/2
  3. C00
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (D) More than one of the aboveउपर्युक्त में से एक से अधिक

Explanation

Put t = 4ˣ: 4t + 4/t = 10, so 2t² − 5t + 2 = 0, t = 2 or 1/2. Hence x = 1/2 or x = -1/2, so both A and B are solutions.t = 4ˣ रखने पर 4t + 4/t = 10, अर्थात 2t² − 5t + 2 = 0, t = 2 या 1/2। अतः x = 1/2 या x = -1/2, इसलिए A और B दोनों हल हैं।

From BPSC TRE 1.0 (2023) General Studies Class 1-5 (1st Sitting) — Previous Year Paper

This is question 6 of BPSC TRE 1.0 (2023) General Studies Class 1-5 (1st Sitting) — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.