If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then th... VIDEO
If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then the roots of the equation \( (x-1)^{3}+8=0 \) are
[AIEEE 2005, 3M]
(a) \( -1,1+2 \omega, 1+2 \omega^{2} \)
(b) \( -1,1-2 \omega, 1-2 \omega^{2} \)
W
(c) \( -1,-1,-1 \)
(d) None of these
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-03-21 If \( z \) is any complex number satisfying \( |z-3-2 i| \leq 2 \),... 2023-03-21 The number of complex numbers such that \( |z-1|=|z+1|=|z-i| \), wh... 2023-03-21 If \( \alpha \) and \( \beta \) are the roots of the equation \( x^... 2023-03-21 Let \( z_{1} \) and \( z_{2} \) be two distinct complex numbers and... 2023-03-21 \( \mathrm{I}^{f} \omega=\frac{z}{z-\frac{1}{3} i} \) and \( |\omeg... 2023-03-21 Let \( A, B \) and \( C \) be three sets of complex numbers as defi... 2023-03-21 If one of the vertices of the square circumscribing the circle \( |... 2023-03-21 Prove that the roots of the equation \( 8 x^{3}-4 x^{2}-4 x+1=0 \) ... 2023-03-21 If \( \omega \) is a cube root of unity but not equal to 1 , then m... 2023-03-21 If \( z_{1} \) and \( z_{2} \) are two non-zero complex numbers, su... 2023-03-21 If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then th... 2023-03-21 If the complex number \( z \) is to satisfy \( |z|=3,|z-\{a(1+i)-i\... 2023-03-21 \( P Q \) and \( P R \) are two infinite rays. \( Q A R \) is an ar... 2023-03-21 Prove that, if \( z_{1} \) and \( z_{2} \) are two complex numbers ... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason)
Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 This section contains 4 questions. Questions 68 and 69 have three s... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques...