The sum of squares of 4 consecutive natural number is 5334.The smallest of these numbers is
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The sum of squares of 4 consecutive natural number is 5334.The smallest of these numbers is
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Answer
x²+(x+1)²+(x+2)²+(x+3)²=5334
x²+x²+1+2x+x²+4+4x+x²+9+6x=5334
4x²+12x+14=5334
4x²+12x=5320
x²+3x=1330
x²+3x-1330=0
x²+38x-35x-1330=0
x(x+38)-35(x+38)=0
(x+38)(x-35)=0
so x=-38 or x=35.
so Smallest no.=35