Question

(3y-2)i^16 +(5-2x)I=0 find x and y ​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{(3y-2)i^{16}+(5-2x)i=0}$

$\underline{\textsf{To find:}}$

$\textsf{The values of x and y}$

$\underline{\textsf{Solution:}}$

$\textsf{We know that}$

$\mathsf{\sqrt{-1}=i\implies\,i^2=-1}$

$\textsf{Consider,}$

$\mathsf{(3y-2)i^{16}+(5-2x)i=0}$

$\mathsf{(3y-2)(1)+(5-2x)i=0}$

$\mathsf{(3y-2)+(5-2x)i=0+i0}$

$\textsf{Separating real and imaginary parts, we get}$

$\mathsf{3y-2=0}$

$\implies\mathsf{y=\dfrac{2}{3}}$

$\textsf{and}$

$\mathsf{5-2x=0}$

$\mathsf{-2x=-5}$

$\implies\mathsf{x=\dfrac{5}{2}}$

$\underline{\textsf{Answer:}}$

$\mathsf{x=\dfrac{5}{2},\;y=\dfrac{2}{3}}$

Find more:

If a-bi/a+bi=1+i/1-i then,prove a+b=0

https://brainly.in/question/14173316

Express the complex number z = 5+i/2+3i in the form a + ib

https://brainly.in/question/6695271

Find the square root of -12+6i

https://brainly.in/question/17692861