If for p ≠ 1,  p(5x + 3) = 1 then x =

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. -2/5
  2. 3/5
  3. -3/5
  4. 2/5

Answer (Detailed Solution Below)

Option 3 : -3/5
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Detailed Solution

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Given:

p(5x + 3) = 1, where p ≠ 1

Formula used:

For p ≠ 1, if pn = 1, then n = 0.

Calculations:

p(5x + 3) = 1 implies that the exponent (5x + 3) must be 0, since any non-zero number raised to the power of 0 is 1.

⇒ 5x + 3 = 0

⇒ 5x = -3

⇒ x = -3/5

∴ x = -3/5

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