Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

The equation x^3- 3 4 x=- 3 8 is satisfied by

Options

Ax= ( 5 18 )
Bx= ( 7 18 )
Cx= ( 23 18 )
Dx= ( 17 18 )

Correct answer

D. x= ( 17 18 )

Step-by-step solution

Let x= aligned & 4 ^3 -3 =- 3 2 & 3 = 5 6 aligned aligned & 3 =2 n 5 6 & = 2 n 3 5 18 aligned aligned & put n =0, = 5 18 & n =1, = 2 3 + 5 18 = 17 18 ; = 2 3 - 5 18 = 7 18 aligned

Practice Trigonometry on Quantrex Academy →

More from Trigonometry

The number of real root(s) of the equation x^2 x=1 lie(s) between 0 and 2 is/are If |x^2- 4 + x-2 |= |x^2-2 |+| x|+ 4 then If 3 x+ (2 x- 7 6 )=-2 , then x is equal to ( where m I)What is the minimum value of ^4 ^2 + ^4 ^2 for , B k 2 , k Z ?If x+ y x x R then y+ is equal to If A, B are the roots of the quadratic equation a b x^2-c^2 x+a b=0 where a, b, c are sides of the A B C then ^2 A+ ^2 B+ ^2 C is If and - are the roots of the equation a x^2-b x-c=0 , where a, b, c are the sides of a triangle A B C , then B is equal to If 2 ^2 ( 2 ^2 x )=1- ( 2 x), x (2 n+1) 2 , n I , then Full Trigonometry list All Most Important Selected Qs for JEE Advanced PYQs