यदि a और b, x2 + x - 2 = 0 के मूल हैं, तो x में द्विघात समीकरण ज्ञात कीजिए जिसके मूल  और ab हैं।

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RRB Group D 18 Sept 2022 Shift 1 Official Paper
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  1. 2x2 + 3x - 2 = 0
  2. 2x2 + 5x - 2 = 0
  3. 2x2 - 5x + 2 = 0
  4. 2x2 - 3x + 2 = 0

Answer (Detailed Solution Below)

Option 1 : 2x2 + 3x - 2 = 0
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RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

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दिया है:

x2 + x - 2 = 0 का मूल a और b है

प्रयुक्त अवधारणा:

द्विघात समीकरण का मानक रूप:

ax2 + bx + c = 0

द्विघात समीकरण के मूल निम्न द्वारा निकाले जाते हैं-

गणना: 

दिए गए समीकरण के मूल: x2 + x - 2 = 0

समीकरण जिसके मूल ab और हैं

 = 0

(x + 2)(2x - 1) = 0

2x2 + 3x - 2 = 0

इसलिए, सही उत्तर '2x² + 3x - 2 = 0' है।

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