3 – 5i - Write as a complex number. In other 2+ 3i words, find real numbers a and b such that 3 – 5i - = a + bi 2 + 3i

Q: Find all complex numbers z such that z-8+6i, and give your answer in the form a+bi. Use the square…

A: Given that, z2=8+6i

Q: Find all complex fourth roots of -2-2/3 i. In other words, find all complex solutions of x = =…

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Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: Determine the absolute value of the complex number z = -1 - 2i.

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Q: 10 2) z = (-j)()

A: We have to use De Moivre's theorem cosθ+jsinθn=cosnθ+jsinnθ and Eular form of complex number…

Q: (a) If z is a complex number such that z =8i, write z in the form a +bi. Given that =, =2 b where a…

A: These are complicated & lengthy problems,so I can do it in Advanced mathematics.

Q: Find all complex cube roots of -1+ 4i. Give your answers in a + bi form, separated by commas.

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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 all complex square roots of 3+3/3 i. In other words, find all complex solutions of x= 3+33 i. i…

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Q: Represent the complex number geometrically.(-3i)(2 - i)

A: -3i2-i=-3i2-3i-i=-6i+3i2=-6i+3-1=-3-6i

Q: Find all complex square roots of i. In other words, find all complex solutions of x i

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Q: Completely factor P(x)=x" +2x'+ 8x + 32x- 128 into linear factors, given that - 4i is a zero. P(x) =…

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Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b)…

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Q: Subtract the complex numbers. Express your answer in the form (a + bi). (3 + 4i) – (6 - 7i)

A: According to the question, we have to subtract the complex number 3+4i-6-7i and express the number…

Q: Evaluate  3−3i / 1-4i  and express as a simplified complex number.

A: Given,           3-3i1-4i

Q: Find all complex numbers z satisfying z³ = 27i and give your answer as a comma-separated list of…

A: We have to find Z value

Q: What is the complex conjugate of -6 + 4i?

A: Complex number is -6+4ithen complex conjugate is -6-4i

Q: V5+12i+v5-12i Show that the complex conjugate is equal to - V5+12i-V5-12i

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2 – i Find the conjugate of the complex number in the form of a + bi. 1– 2i

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5√3 - 5i

A: given the complex number -5√3 - 5i. We need to convert the following into trigonometric form.

Q: Solve over the set of complex numbers. x +32 0 2x2 -10 = -50 17. 18. 19. 3x2 =-12 %3D

A: We have to solve

Q: Find all complex numbers z satisfying z4 = -8+8 \3i and give your answer as a comma-separated list…

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Q: Add the complex numbers. Express your answer in the form (a + bi). (8 - i) + (-3 - 8i) 123 Tutorial

A: Given two complex numbers      Adding real parts and imaginary parts of two complex numbers

Q: Completely factor P(x)=x* +x + 4x+16x-192 into linear factors, given that -4i is a zero. P(x)= (Type…

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Q: Find all complex cube roots of – 4 – 2i. Give your answers in a + bi form, separated by commas.

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Q: Express −1+√−81 as a complex number −1+√−81

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Q: Find all complex fourth roots of - 2 + 2/3 i. In other words, find all complex solutions of X x* = -…

A: Given: -2+23i

Q: Find all complex square roots of -4i. In other words, find all complex solutions of x =-4i. i

A: Find the all complex solutions

Q: Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i 1.)26.2 2.)-1 3.)-26.2…

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Q: 20. Express (-3 - 8i) (-7 + 2i) + (7 - 3i) in simplest a + bi form

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Q: Represent the complex number geometrically.4(-1 + 2i)

A: 4-1+2i

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 (4, 7) 6 4 2 6 8 Real…

A: To find :               The sum of complex number in complex plane.         Adding/Subtracting…

Q: 1. Write the complex number 2+ iv3 in the form of reio . (2 Marks)

A: Here we first find modulus and arg then convert this into polar form

Q: 9. i) Express each of the complex numbers Z (2+3i)(1- 2i), Z2 = (3+ 5i)/2 - i in the form a + ib…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Convert to complex form z3 = 8

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Q: 6+5i -6-3i 2s

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Q: Find all complex solutions of 3x-x+4 0. (If there is more than one solution, separate them with…

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Q: Represent the complex number geometrically.3 - 5i

A: The complex number 3-5i

Q: Express v-100 as a V-100 = complex number in standard form: a + bi Preview

A: We put a+bi=√(-100) and solve it.

Q: Find all complex fourth roots of -2-2/3i. In other words, find all complex solutions of x=-2-2/3i.

A: follow next step

Q: Find all complex numbers z such that z2=-15+8i, and give your answer in the form a+bi. Use the…

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Q: Find all complex square roots of -2+2/3i. In other words, find all complex solutions of x=- 00..

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Q: 1. Find all complex 4th roots of -8 – 8/3i, plot their location in the complex plane and show that…

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Q: - 4 as a complex number (in terms of i): |-4 =

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Q: Enter in form a + bi the complex number z which has an absolute value 2 and argument 2/3 π.

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Q: Find all complex fourth roots of -2-2/3 i. In other words, find all complex solutions of x" =-2-2/3…

A: Given  -2 - 2√3i and we have to find all four roots of complex

Q: Find all complex fourth roots of 4. In other words, find all complex solutions of x* = 4.

A: Given,          Complex fourth roots of 4.

Q: Determine the absolute value of the complex number 2 - 3i.

A: Absolute value of complex number z=a+ib is represent by z and  given as z=a2+b2