Correct Answer: 10
Explanation:
2x - 1 + 2x + 1 = 2560
2x - 1 + 2x - 1 + 2 = 2560
Apply the Law of Algebra
2x - 1 + 2x - 1 x 2 2 = 2560
⇒ 2x - 1 ( 1 + 22 ) = 2560
⇒ 2x - 1 = 2560/5 = 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
⇒ 2x - 1 = 29
⇒ x - 1 = 9
∴ x = 9 + 1 = 10
Discussion & Comments