Question

दो कमागत धनात्मक पूर्णांकों के वगो का योग 145 है। पूर्णाक ज्ञात कीजिये

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Answer 1

Answer:

x)2 + (x + 1)2 = 365

=> x2 + x2 + 2x + 1 = 365

=> 2x2 + 2x + 1 = 365

=> 2x2 + 2x + 1 - 365 = 0

=> 2x2 + 2x + 1 - 365 = 0

=> 2x2 + 2x - 364 = 0

=> 2(x2 + x - 182) = 0

=> x2 + x - 182 = 0/2

=> x2 + x - 182 = 0

=> x2 + 14x - 13x - 182 = 0

=> x(x + 14) - 13(x + 14) = 0

=> (x + 14) (x - 13) = 0

=> x + 14 = 0 तथा x - 13 = 0

=> x = - 14 तथा x = 13

चूँकि

पहला धनात्मक पूर्णाक

= > x

=> 13

दूसरा धनात्मक पूर्णाक

=>x + 1

=> 13 + 1

=> 14 answer