Solve for x:

To find: value of x
Formula Used: ![]()
Given: ![]()
LHS ![]()
![]()
![]()
Therefore, ![]()
Taking tangent on both sides, we get
![]()
⇒ 62x = 16 – 8x2
⇒ 8x2 + 62x – 16 = 0
⇒ 4x2 + 31x – 8 = 0
⇒ 4x2 + 32x – x – 8 = 0
⇒ 4x × (x + 8) – 1 × (x + 8) = 0
⇒ (4x – 1) × (x + 8) = 0
![]()
Therefore,
are the required values of x.