Find two consecutive positive integer whossum is 365
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Let two consecutive positive integer be x and x+1.
According to question
x2 + (x+1)2=365
=x2+x2+2x+1=365
=2x 2 +2x-364=0
=x2+x-182=0
Let us split middle term
x2+14x-13x-182=0
=x(x+14)-13(x+14)=0
=(x+14)(x-13)=0
x=14 or x= - 13
[ - ve root being rejected ]
Hence required numbers are 13 and 14
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Answer:
INTERGERS ARE 13 AND 14
Step-by-step explanation:
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