i) If Z1 = 2+i, Z2 = 2-3i and Z3 = 4+5i, then evaluate Re{(z1 + z2)z3 }
ii) Find the real values of x and y if (1 + 𝑖)𝑦2 + (6 + 𝑖) = (2 + 𝑖)𝑥

Question

i) If Z1 = 2+i, Z2 = 2-3i and Z3 = 4+5i, then evaluate Re{(z1 +
z2)z3 }
ii) Find the real values of x and y if (1 + 𝑖)𝑦2 +
(6 + 𝑖) = (2 + 𝑖)𝑥 ​

Neha Sethi · Accepted Answer

Dear student
i)Given z1=2+iz2=2-3iz3=4+5iConsider,z1+z2=2+i+2-3i=4-2iNow consider, z1+z2z3=4-2i4+5i=16+20i-8i+20=36+12iSo, Re z1+z2z3=36
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i) If Z1 = 2+i, Z2 = 2-3i and Z3 = 4+5i, then evaluate Re{(z1 + z2)z3 } ii) Find the real values of x and y if (1 + 𝑖)𝑦2 + (6 + 𝑖) = (2 + 𝑖)𝑥 ​

i) If Z1 = 2+i, Z2 = 2-3i and Z3 = 4+5i, then evaluate Re{(z1 + z2)z3 }
ii) Find the real values of x and y if (1 + 𝑖)𝑦2 + (6 + 𝑖) = (2 + 𝑖)𝑥