If x is a solution of the equation 2 x + 1 - 2 x - 1 = 1 , x ≥ 1 2 , then 4 x 2 - 1 is equal to :

Question

If x is a solution of the equation 2 x + 1 - 2 x - 1 = 1 , x ≥ 1 2 , then 4 x 2 - 1 is equal to :, 3 4, 1 2, 2 2, 2

MARKS App · Accepted Answer

2 x + 1 - 2 x - 1 = 1 . . . 1 ⇒ 2 x + 1 + 2 x - 1 - 2 4 x 2 - 1 = 1 ⇒ 4 x - 1 = 2 4 x 2 - 1 ⇒ 16 x 2 - 8 x + 1 = 16 x 2 - 4 ⇒ 8 x = 5 ⇒ x = 5 8 which satisfies equation 1 . So, 4 x 2 - 1 = 3 4

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