If z=3+4i, find z^2. (Note that i^2 = -1.)

jmc

algebra intermediate

Problem

z = 3 + 4 i

, find

z^{2}

. (Note that

i^{2} = - 1.

)

Solution

We multiply

(3 + 4 i) (3 + 4 i) = 9 + 12 i + 12 i - 16 = - 7 + 24 i

Final answer

-7+24i