Question

If z/2+4z/2+5z/2=-10then z is​

Answer 1

Step-by-step explanation:

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ANSWER

∣z∣=2

Let z

′

=x+iy lies on the locus represented by the complex numbers −1+5z

So,

z

′

=−1+5z

z

′

+1=5z

∣z

′

+1∣=∣5z∣

∣z

′

+1∣=5∣z∣=5(2)=10

∣x+iy+1∣=10

⇒(x+1)

2

+y

2

=100

which is an equation of a circle with radius 10 and center (−1,0)

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