Given z=1-2i/3+5i find z+z* where z* denotes the complex conjugate of z. Figure out z and z* in the a+bi form before computing the arithmetic, finally giving your answer in the a+bi form..

Q: Find all complex roots of the equation z6+z5+z4+z3+z2+z+1=0.

A: The given equation is z6+z5+z4+z3+z2+z+1=0    .....(1) We know that  z7-1=(z-1)(z6+z5+z4+z3+z2+z+1)…

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz ) None of these O if OSArg(z)ST/2 O if…

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Q: Let z be a complex number with |z|=17 and let z0=17−11i . What is |z−z0|^2+|z+z0|^2 ?

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Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: 11 (6i – 9) = Your answer should be a Complex number in the form a + bi where a and b are real…

A: Complex number multiply

Q: Let Z1 and Z2 be roots of the equation z + pz + q = 0, where the coefficients p and q may be complex…

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Q: Find the complex conjugate of (2+3i)/(1-i)

A: We find complex conjugate of (2+3i)/(1-i)

Q: Z₂ = 3+i 2-i 2-i 3+i +

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Q: (d) z = (1 – j) (c) z = %3D (f) z = (1+j)i

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Q: If r is real and w complex, what is (w-r)(conjugate of w-r) equal to?

A: Given that  is real and  is complex.We need to find the simplified expression of .We know that for…