The sum of the squares of two consecutive multipales of 6 is 1476,find the multiples?
(a) 12,18 (b) 24,30 (c) 36, 42 (d) 6,12
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let the no is 6x and 6(x+1) .
now , according to question ,
=> (6x)² + ( 6x+6 )² = 1476
=> 36 { x²+ (x+1)²} =1476
=> x² + x²+2x +1 = 41
=>2x² + 2x -40 = 0
=>2( x² + x -20) = 0
=> 2(x+5)(x-4)= 0
so ,x is 4 and -5 .
here negative number is not possible , therefore x is 4 .
Hence , 6x = 24 and 6(x+1) = 30
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