I'm new as you can probably tell, so hello everyone! I'm doing AS Further Mathematics as an extra AS level during my second year at college, and I am finding it difficult to answer the following question in my homework:
Find the complex number which satisfies .
How would I go about attempting this? I'm unsure of what step/s to take first.
Thanks very much for any help!
z* is the complex conjugate of z?
Let z= x+ iy. Then your equation is (2+i)(x+ iy)+(3-2i)(x- iy)=32. Multiplying that out, 2x- y+ i(x+ 2y)+ 3x- 2y+ i(-2x- 3y)= 32. Set the real part of the left side equal to 32 and the imaginary part equal to 0. You will have two equations to solve for x and y.