An engineer wants to determine the distance d of the two complex number in the complex coordinate plane, what is the distance d in units of z1=(3-15i) and z2=(8-15i)

Q: Simplify the complex number (Z^3) * ?and find the Re(z) & Im(z)

A: From De Moivre's Theorem we have,  Let z=rcosθ +isinθis a complex number in polar form. If n is a…

Q: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: 2+5i Divide the two complex numbers:- In other words, write it as a single complex number 3+i

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Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: This complex number is pure real? 1-2i/i and why?

A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:…

Q: -2i · (2+6i) = Your answer should be a complex number in the form a + bi where a and b are real…

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Q: Find the difference between the complex numbers. (4 – 7 i)- (5+ 6 i )-(-1-13 i) (4 – 7 i)- (5+…

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Q: Solve the complex number z = (2+3i)^3/2

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Q: Put the complex number of (1+2i)/(2+i) in the form if a +bi, where a and b are real numbers

A: The given complex number is 1+2i2+i.

Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: Find the value of x in the complex equation (2x - 3yi)(3 + 4i) = 78 - 21i %3D

A: Given complex equation (2x-3yi)(3+4i)=78-21i To determine the value of x  First multiple left hand…

Q: Identify the real part, imaginary part and magnitude of the complex number ecos(theta)+jsin(theta)

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Q: The real part of the complex number z = (2+2i)² + e¹+2i is

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Q: Find all complex numbers w such that w ² = -1

A: Given that The nth root of the complex number  is

Q: Find the value of y in the complex equation (2x-3yi(3 + 4i) 78-21i O5 -3 03 -4

A: Given, (2x-3yi)(3+4i)=78-21i Expanding the LHS⇒ (2x-3yi)(3+4i)=6x+8xi-9yi-12yi2…

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: Find all solutions of the equation x²-4x+5=0 and give your answer as a list of complex numbers, such…

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Q: a

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Q: Find all complex numbers z satisfying the equation 2|=|* + =' -5+iV3 =0.

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

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