Find the real numbers $x$ and $y$ if $x(2-3i)+y(4+5i)=2-14i$ $(x+iy)^2=3+4i$ \((x+iy)^2=\fra

Question

Find the real numbers $x$ and $y$ if $x(2-3i)+y(4+5i)=2-14i$ $(x+iy)^2=3+4i$ $(x+iy)^2=\frac{50}{4+3i}$ $(2x+3y)-x^3i=14-64i$

Accepted Answer

(a) $x = 3, y = -1$; (b) $x = 2, y= 1$ or $ x=-2, y = -1$; (c) $x= -3, y = 1$ or $x = 3, y = -1$.

Solution of equations in complex numbers