Find all complex numbers z such that 2²=-12+16i, and give your answer in the form a+bi. Use the square root symbol '' where needed to give an exact value for your answer. z = ???

Q: Find the 5™ roots of the complex number [(2+x) – 5i] , where x = last digit of your ID Number.

A: To find- Find the 5th roots of the complex number 2 + x - 5i, where x = 2

Q: 7. Multiply the following two complex numbers: (4 - 5i)(-2 + 7i)

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Q: find all complex Values satisfy ing the given equation ē = 2+1 (-1+i) .

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Q: Simplify, then express each in complex number form “a+bi” 1) -3(4+2i) -2(5-3i) 2) (4+3i)^2 3) 11+2i…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find one or more values of each of the following complex expressions

A: We need to compute the value of the given expression.          e2tanh-1i

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: Use the trigonometric form of a complex number to show that z-n = 1/zn , where n is a positive…

A: To prove the given identity

Q: Find all (real or complex) numbers z₁ and z2 such that 21+22=-6-3i Z1²2=3+11i

A: Given that:      z1+z2=-6-3iz1z2=3+11i The objective is to find all real and complex numbers z1  and…

Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: Let 2 = 2+3i and w = 5-i. Compute the following complex numbers (your answers should be in a + bi…

A: Step 1:Let's compute the given complex numbers in a+bi format for the following:(d): zwˉ(e): wz​(f):…

Q: Find all complex numbers z satisfying -81 81 √3 2 2 -i and give your answer as a comma-separated…

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Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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

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Q: Given the complex numbers, find the roots of the ff: 1) ( -1 )^1/4 2) ( -1-i )^1/3 3) ( -i )^1/3

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Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: 5. Express the following complex number in the form a+ ib, where a snd b are real 3-21 5+31" ( Find…

A: We have to solve given complex number question.

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Simplify the complex power [(1+i)/(1-i)]-2i  and leave your answer in its simplest form.

A: Use the following formulae, to obtain the solution.…

Q: Find the imaginary part of 2 to the power i+3

A: 2i+3 = 23•2i = 8•2i  Now, 2i = ei•ln(2) = cos{ln(2)} + i•sin{ln(2)}

Q: complex numbers in exponential form.

A: The given question as belonging to the complex number in which we have to find the exponential form…

Q: Find all (real or complex) numbers z₁ and z2 such that 21+22=-6-3i 2122=3+11i Enter the roots as a…

A: z1+z2=-6-3iz1z2=3+11i To Find: All real and complex numbers z1 , z2.

Q: Find the roots of the given complex number 1. z^5 = 4i

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Q: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number z.what is…

A: Given: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number…

Q: Z is a complex number

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Q: Simplify the following: 3+7i 1. (4 + 2i) + (–3 – 51) 2. (–3 + 4i) – (5+ 2i) in standard form 3.…

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