Latest exam Aptitude Question SOLUTION: Find two consecutive integers such that the sum of their squares is 5. How do I solve this problem?

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(#M40042122) EXAM Numerical Ability question Keep an EYE

Find two consecutive integers such that the sum of their squares is 5. How do I solve this problem?

Asked In exam (10 years ago)

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Aditi Maheshwari  (10 years ago)

its 1 and 2 but as they are integers it can be -1 & -2 also
hit and trial method
otherwise u can do it as
let one number b x den other wud x+1 as they are consecutive
now according to condition
x^2+(x+1)^2=5
x^2+x^2+2x+1=5
2x^2+2x+1-5=0
2x^2+2x-4=0
x^2+x-2=0
x^2+2x-x-2=0
x(x+2)-1(x+2)=0
(x-1)(x+2)=0
x=1,-2
if x=1 den x+1=2
if x=-2 den x+1=-1
so 1 & 2 or -1 & -2

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