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x 2 - xy + y 2 = 12 -------- (I)
Using, (x 4 + x 2 y 2 + y 4 ) = (x 2 - xy + y 2 ) (x 2 + xy + y 2 )
216 = 12 X (x 2 + xy + y 2 )
Or, x 2 + xy + y 2 = 18 -------- (II)
On subtracting equation (II) from (I) ,
We get, x 2 - xy + y 2 - (x 2 + xy + y 2 ) = 12 - 18
Or, x 2 - xy + y 2 - x 2 - xy - y 2 = - 6
Or, 2xy = 6
Or, xy = 3
Required value = 3 X 3 = 9
164, 304, 433, 551, 658, 752
21, 23, 27, 35, 51, 87
556, 547, 483, 458, 242, 196
12, 13, 21, 44, 116.5, 340.5
78, 88, 118, 208, 468, 1288
12, 10, 17, 47, 185, 909
Find the wrong number in given number series.
1177, 1161, 1125, 1061, 961, 837.
128, 132, 123, 139, 113, 150
86,142, 232, 364, 547
1152 3456 432 1296 164 486