Solve the following equations for x:

Given:-

Take

LHS

We know that, Formula

Thus,

⇒

⇒

⇒

⇒

⇒ 5x = –1 + 6x^{2}

⇒ 6x^{2} – 5x – 1 = 0

⇒ 6x^{2} – 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,

3