Question

if |z|+z=real (z) find locus of z ​

Answer 1

Answer:

hey there is answer

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Let z=r(cosθ+isinθ)=reiθ

z2=r2ei2θ

z2+z|z|+|z2|=0

⇒r2e2iθ+r2eiθ+r2=0

⇒(eiθ)2+eiθ+1=0

⇒eiθ=−1±3i−−√2

⇒cosθ=−12sinθ=±3–√2

r is variable

Thus locus is a pair of straight lines.

Answer 2

Answer:

Step-by-step explanation:

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