Z1 = 1 + 3i and z2 = 2 - i where i^2 = - 1 are two complex numbers. let z3 = z1 + 2z2 find z3 in the form a + bi. please explain?

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Answer 1 · 2018-03-04T17:02:47

The answer is #=5+i#

Addition of #2# complex numbers

#z_1=a+ib#

#z_2=c+id#

#z_1+z_2=a+ib+c+id#

#=a+c+i(b+d)#

The complex numbers

#z_1=1+3i#

#z_2=2-i#

#z_3=z_1+2z_2=(1+3i)+2(2-i)#

#=1+3i+4-2i#

#=5+i#