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 - &#160; 2 x - 1 = 1 , &#160; x &#8805; 1 2 , then 4 x 2 - 1 is equal to :

Aicharya · Accepted Answer

2 x + 1 - &#160; 2 x - 1 = 1 &#160; &#160; &#160; &#160; . . . 1 &#8658; 2 x + 1 + 2 x - 1 - 2 4 x 2 - 1 = 1 &#8658; 4 x - 1 = 2 4 x 2 - 1 &#8658; 16 x 2 - 8 x + 1 = 16 x 2 - 4 &#8658; 8 x = 5 &#8658; x = 5 8 which satisfies equation 1 . So, 4 x 2 - 1 = 3 4

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

Solution

If x is a solution of the equation 2 x + 1 - &#160; 2 x - 1 = 1 , &#160; x &#8805; 1 2 , then 4 x 2 - 1 is…

Solution

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