यदि {(1 ÷ x) × (x3 − 2x2) + (43 ÷ 25) × x} ÷ 25 = 1, तो x के संभावित मान हैं/हैं:

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SSC CPO 2022 Tier-I Official Paper (Held On : 9 Nov 2022 Shift 3) [Answer Key]
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  1. −5
  2. 5
  3. 0
  4. दोनों 5 और −5 

Answer (Detailed Solution Below)

Option 4 : दोनों 5 और −5 
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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दिया है:

{(1 ÷ x) × (x3 − 2x2) + (43 ÷ 25) × x} ÷ 25 = 1

प्रयुक्त अवधारणा:

BODMAS की अवधारणा का प्रयोग किया जाता है

गणना:

= {(1 ÷ x) × (x3 − 2x2) + (43 ÷ 25) × x} ÷ 25 = 1

\(\frac{{\frac{1}{x}(x^3-2x^2)+(\frac{4\times4\times4}{2\times2\times2\times2\times2})\times x}}{25}=1\)

\(\frac{x^2-2x+2x}{25}=1\)

\(x^2 = 25\)

= x = +5 या -5

⇒ इसलिए, समीकरण का मान +5 या -5 है।

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