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,






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,



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