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Solve the following equations for x:
Given:-
Take
LHS
We know that, Formula
Thus,
⇒
⇒
⇒
⇒
⇒ 5x = –1 + 6x2
⇒ 6x2 – 5x – 1 = 0
⇒ 6x2 – 6x + x – 1 = 0
⇒ 6x(x – 1) + 1(x – 1) = 0
⇒ (6x + 1)(x – 1) = 0
⇒ 6x + 1 = 0 or x – 1 = 0
⇒
Since,
So,
is the root of the given equation
Therefore,