If \( x=a+i b \) is a complex number such that \( x^{2}=3+ \) \( 4 i \) and \( x^{3}=2+11 i \), ....

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=-lU-6b2rUh4



Duration: 2:20
0 views
0


If \( x=a+i b \) is a complex number such that \( x^{2}=3+ \)
\( \mathrm{P} \)
\( 4 i \) and \( x^{3}=2+11 i \), where \( i=\sqrt{-1} \) then \( a+b \) is equal
W
to


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-23\( a, b, c \) are three complex numbers on the unit circle \( |z|=1 \), such that \( a b c=a+b+c....
2024-01-23If \( x=\omega-\omega^{2}-2 \), then the value of \( x^{4}+3 x^{3}+2 x^{2}-11 x-6 \) is (where \....
2024-01-23If \( |z| \leq 4 \) then the maximum value of \( |i z+3-4 i| \), is....
2024-01-23\( z_{1} \) and \( z_{2} \) are the roots of \( 3 z^{2}+3 z+b=0 \). If \( O(0),\left(z_{1}\right....
2024-01-23If \( \left|z_{1}-2\right| \leq 1,\left|z_{2}-3\right| \leq 3,\left|z_{3}-4\right| \leq 4 \) the....
2024-01-23If \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}^{2}\right|+\left|z_{2}^{2}\right| \) then....
2024-01-23If \( \alpha, \beta, \gamma \) are the roots of equations \( x^{3}-3 x^{2}+3 x+7=0 \) and \( \om....
2024-01-23Let \( z=9+b i \), where \( b \) is non-zero real and \( i^{2}=-1 \). If the imaginary part of \....
2024-01-23Match the complex number given in the list-I with the corresponding arguments is \begin{tabular}....
2024-01-23All non zero complex numbers \( z \) satisfying \( \bar{z}=i z^{2} \) is (are)....
2024-01-23If \( x=a+i b \) is a complex number such that \( x^{2}=3+ \) \( 4 i \) and \( x^{3}=2+11 i \), ....
2024-01-23If \( \left|\frac{z-2}{z-3}\right|=2 \) represents a circle, then The center of the circle is....
2024-01-23The complex number \( z \) satisfying \( \operatorname{Re}\left(z^{2}\right)=0,|z|=\sqrt{3} \) a....
2024-01-23The square roots of \( 5+12 i \) is (are) (1) \( 3-2 i \) (2) \( 3+2 i \) (3) \( -3+2 i \) (4) \....
2024-01-23If \( \left|\frac{z-2}{z-3}\right|=2 \) represents a circle, then The radius of the circle is....
2024-01-23Let \( z \) be a complex number satisfying \( |z|=3|z-1| \) then the value of \( \left|z-\frac{9....
2024-01-23If \( z+z^{-1}=1 \) then the value of \( z^{100}+z^{-100} \) is....
2024-01-23If \( \omega \) is a complex cube root of unity, then then value of \( (1+\omega)\left(1+\omega^....
2024-01-23The greatest value of \( \left|z_{1}+z_{2}\right| \) if \( z_{1}=24+7 i \) and \( \left|z_{2}\ri....
2024-01-23The argument of \( -5 \sqrt{3}+5 \sqrt{3} i \) is....
2024-01-23If \( \frac{1}{a+\omega}+\frac{1}{b+\omega}+\frac{1}{c+\omega}+\frac{1}{d+\omega}=\frac{1}{\omeg....