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



We know that, Formula



Thus,






40 – 8x2 = 158x


8x2 + 158x – 40 = 0


4x2 + 79x – 20 = 0


4x2 + 80x – x – 20 = 0


4x(x + 20) – 1(x + 20) = 0


(4x – 1)(x + 20) = 0


4x – 1 = 0 or x + 20 = 0



Since,


x > 0


So,


is the root of the given equation


Therefore,



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