Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 3 of Exercise 4.11
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3
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,
