If \( x=a+b+c, y=a \alpha+b \beta+c \) and \( z=a \beta+b \alpha+c ... VIDEO
If \( x=a+b+c, y=a \alpha+b \beta+c \) and \( z=a \beta+b \alpha+c \), where \( \alpha \) and \( \beta \) are imaginary cube roots of unity, then \( x y z= \)https://bit.ly/YTAI_PWAP https://www.pw.live/
Other Videos By PW Solutions 2023-02-25 The quadratic equation \( z^{2}+\left(p+i p^{\prime}\right) z+q+i q... 2023-02-25 If \( a=1+\frac{x^{3}}{3 !}+\frac{x^{6}}{6 !}+\ldots \ldots, b=x+\f... 2023-02-25 If \( z_{1}, z_{2}, z_{1} \) are vertices of an equilateral triangl... 2023-02-25 If equation \( (z-1)^{n}=z^{n}=1(n \in N) \) has solutions, then \(... 2023-02-25 If \( \alpha=e^{\frac{i 8 \pi}{11}} \) then Real \( \left(\alpha+\a... 2023-02-25 If \( \alpha \) is non real and \( \alpha=\sqrt[5]{1} \) then the v... 2023-02-25 Let \( z_{1} \) and \( z_{2} \) be two non real complex cube roots ... 2023-02-25 If \( x^{2}+x+1=0 \), then the numerical value of \( \left(x+\frac{... 2023-02-25 If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then \(... 2023-02-25 SComplex numbers \( z_{1}, z_{2}, z_{3} \) are the vertices \( A, B... 2023-02-25 If \( x=a+b+c, y=a \alpha+b \beta+c \) and \( z=a \beta+b \alpha+c ... 2023-02-25 The points \( z_{1}, z_{2}, z_{3}, z_{4} \) in the complex plane ar... 2023-02-25 The number of solutions of the system of equations \( \operatorname... 2023-02-25 If \( z_{1} \),nd \( z_{2} \) are two non-zero complex numbers such... 2023-02-25 Solve \( (z-1)^{4}-16=0 \). Find sum of roots. Locate roots, sum of... 2023-02-25 Dividing polynomial \( f(z) \) by \( z-i \), we get the remainder \... 2023-02-25 Find the cosine of angle of intersection of curves \( y=2^{x} \ln x... 2023-02-25 If \( x=1+i \sqrt{3} ; y=1-i \sqrt{3} \) and \( z=2 \), then prove ... 2023-02-25 Find the value(s) of the following
\( \mathrm{P} \)
\[
\left(\frac{... 2023-02-25 For any two complex numbers \( z_{1}, z_{2} \) and any two real num... 2023-02-25 If \( z=x+ \) iy is a complex number such that \( z=(a+i b)^{2} \) ...
0