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CBSE Class 10 Answered

find two consecutive odd natural number sum of whose square is 130
Asked by prateekgoyal.4321 | 26 Jan, 2020, 12:51: PM
Expert Answer

Let the two consecutive odd natural numbers are x and x + 1.

According to the condition,

x2 + (x + 2)2 = 130

→ x2 + x2 + 4x + 4 = 130
→  2x2 + 4x - 126 = 0
→  x2 + 2x - 63 = 0
→  (x + 9)(x - 7) = 0
→ x= -9 and x = 7
x should be an odd natural number.
x= -9 is not acceptable.
→ x = 7

Therefore, the two consecutive odd natural numbers are 7 and 9.

Answered by Yasmeen Khan | 27 Jan, 2020, 11:46: AM

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