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The sum of the squares of three consecut...

The sum of the squares of three consecutive natural numbers is 149. Find the numbers.

Text Solution

Verified by Experts

Let the three consecutive numbers be x,x+1 and x+2
So, According to given question,
`x^2+(x+1)^2+(x+2)^2=149`
`⇒x^2+x^2+2x+1+x^2+4x+4=149` ...
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