Solve the following equations for x:

Given:- ![]()
Take
LHS
![]()
We know that, Formula
![]()
Thus,
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ 62x = 8 – 8x2+ 8
⇒ 4x2 + 62x – 16 = 0
⇒ 6x2 + 31x – 8 = 0
⇒ 4x(x + 8) – 1(x + 8) = 0
⇒ (4x – 1)(x + 8) = 0
⇒ 6x + 1 = 0 or x – 1 = 0
⇒ ![]()
Since,
![]()
So,
is the root of the given equation
Therefore,
![]()