Linear combination of complex

If z1=5+3i and z2=4-2i, write the following in the form a+bi

a) 4z1+6z2
b) z1*z2

Final Answer:

x =  44
y = 26+2i

Step-by-step explanation:

z1 = 5+3i z2 = 42i  x = 4 z1+6 z2 x = 4   (5+3i) + 6 (42i) x =  20+12i +  2412i x = (20+24) + (1212)i x=44
y=z1 z2 y = (5+3i)   (42i) 5 4+5 (2i)+3i 4+3i (2i) y = 2010i+12i6i2 y = 2010i+12i+6 y = 20 + 6 +i(10 + 12) y=26+2i



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