I- If Z1 - 2-i- Z2 - 2-3i and nbsp- Z3 - 4-5i- then evaluate nbsp- Re-z1 - z2-z3 -ii- Find the real values of x and y if -1 - -119894- -119910-2 - -6 - -119894- - -2 - -119894- -119909- -8203-

Dear student i)Given #160;z1=2+iz2=2 3iz3=4+5iConsider,z1+z2=2+i+2 3i=4 2iNow #160;consider, #160;z1+z2z3=4 2i4+5i=16+20i 8i+20=36+12iSo, #160;Re #160 ...

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Byju's Answer

Standard VII

Mathematics

Expression Formation

i) If Z1 = 2+...

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

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Solution

Dear student
$i) Given z_{1} = 2 + i z_{2} = 2 - 3 i z_{3} = 4 + 5 i Consider, (z_{1} + z_{2}) = (2 + i + 2 - 3 i) = (4 - 2 i) Now consider, (z_{1} + z_{2}) z_{3} = (4 - 2 i) (4 + 5 i) = 16 + 20 i - 8 i + 20 = 36 + 12 i So, Re \{(z_{1} + z_{2}) z_{3}\} = 36$
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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 ​

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 For remaining queries we request you to post them in separate threads to have rapid assistance from our experts. Regards

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