B = 85 + 62 7 3 + 85 − 62 7 3
Đặt a = 85 + 62 7 3 ; b = 85 − 62 7 3 = > a + b = B
Mặt khác a 3 + b 3 = ( 85 + 62 7 ) + ( 85 − 62 7 ) = 170 a b = 85 + 62 7 3 85 − 62 7 3 = 85 2 − ( 62 7 ) 2 3 = − 19683 3 = − 27
Ta có:
B 3 = a + b 3 = a 3 + b 3 + 3 a b ( a + b ) = 170 − 3.27. B = > B 3 + 81 B − 170 = 0 = > ( B − 2 ) ( B 2 + 2 B + 85 ⏟ > 0 ) = 0 = > B = 2