एका धन संख्येची तिच्या वर्ग संख्येसह बेरीज केल्यास 56 ही संख्या मिळते. ती धन संख्या कोणती?

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RRB Technician Grade III Official Paper (Held On: 28 Dec, 2024 Shift 2)
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  1. 12
  2. 9
  3. 7
  4. 8

Answer (Detailed Solution Below)

Option 3 : 7
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दिलेले आहे:

एका धन संख्येची तिच्या वर्ग संख्येसह बेरीज केल्यास 56 ही संख्या मिळते.

वापरलेले सूत्र:

संख्या x मानू

x + x2 = 56

गणना:

x + x2 = 56

⇒ x2 + x - 56 = 0

द्विघात समीकरण सोडवून:

⇒ (x + 8)(x - 7) = 0

⇒ x = - 8 किंवा x = 7

x ही धन संख्या असल्याने, x = 7

∴ बरोबर उत्तर पर्याय (3) आहे.

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