RD Sharma - Mathematics (Volume 1)

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,



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