EXAMPLE 2 Adding, Subtracting, and Multiplying Complex Numbers Express the following in the form a + bi. (a) (3 + 5i) + (4 - 2i) (b) (3 + 5i) - (4- 2i) (c) (3 + 5i)(4 – 2i) (d) i23

Q: Add or subtract the complex numbers on the complex plane. 1. (5+ 5i) + (-1 - 6i)

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Q: Plot the complex number and its complex conjugate. 9 - 8i Imaginary axis Imaginary axis Imaginary…

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Q: Miscellaneous Operation on Complex Numbers 1.42+

A: 1. Given,          42+i

Q: lot the complex number. -4 - 3/6i Imaginary Imaginary axis аxis 10 -4 - 3 v6 5- Real Real – 10 -5 5…

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Q: 17- 1. Express the result as a simplified complex number in standard form: 1-3i 2. Solve over the…

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Q: How is multiplying -8 – 3i by i3 represented on the complex plane? Drag a term or measure into each…

A: this is a complex number problem we will solve by making a graph.

Q: 3. If a=4-i and b=10+3i, then which of the following is the value of 3a-4b? -28+9i -21-15i…

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Q: Subtract the complex numbers below. (6+ 3i) - (2+ 9i) (-4+ 8i) - (10- 12i) (12i) - (-4+ 5i)

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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: Represent the complex number graphically. 2 - 2/3i Imaginary Imaginary axis axis 10 10 5 5 2 - 2 V3…

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Q: 8. What type of number can be written in the form a + bi? A rational number A real number A whole…

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Q: Complex arithmetic with conjugates Show that the conjugateof the sum (product, or quotient) of two…

A: Let two complex number are z1= a +i b z2 = c + id

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Q: Plot the complex number and its complex conjugate. -8 - 9i Imaginary axis Imaginary axis Imaginary…

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Q: 21-5 1. a) Convert the complex number to the form a + bi. 1-3i 1. b) P(x) = x* – 3x' +5x² - 2 What…

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Q: 15. Find the complex number. real imaginary complex 12 +6i 12 - 6i 184 72i 12 + 6i -6i 16. Multiply…

A: Let's find.

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate…

Q: +=i Divide the complex numbers. Write the quotient as a complex number in standard form. 12-8i 63.…

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Q: Plot the complex number. -4 - 3/6i Imaginary Imaginary axis axis 10 -4 - 3 V69 5- Real Real -10 -5 5…

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Q: 5.6.1 Question Help Find the sum and product of the complex numbers 2-3i and -2+7i. The sum is (Type…

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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: Plot the complex number. 3 + V3i Imaginary Imaginary axis axis 4 3 + V3 i Real Real -4 -2 2 4 axis…

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Q: (a) Using the positive imaginary axis as north and the positive real axis as east, write complex…

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Q: Plot the complex number and its complex conjugate. -8 - 9i Imaginary axis Imaginary axis 10 10 8 8 4…

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Q: Express the result in trigonometry and rectangular form Complex Number Arithmetic Let -1 + V3i 3 =…

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Q: 1. (a) If z1 = -3 - 5i and z2 = -5 – 7i are the two complex numbers, then %3D 21 + 22 + i123 21 – 22…

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Q: Find all complex numbers z satisfying 4 = -8-8 3i and give your answer as a comma-separated list of…

A: Solve the following

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Q: EXAMPLE 3 Dividing Complex Numbers Express the following in the form a + bi. 3 + 5i (а) 1 - 2i 7 +…

A: Given: (a)  3+5i1-2i(b)  7+3i4i To express: The given expression in the form of a+bi

Q: EXAMPLE 6 Dividing Complex Numbers 8 + 2i Divide. Write the result in the form a + bi. 3 – 5i

A: Given: y=8+2i3-5i

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: Complex conjugate can be defined as ___. a. Addition of the imaginary part of complex numbers. b.…

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Q: 29–48 - Polar Form of Complex Numbers Write the complex number in polar form with argument 0 between…

A: 29. 1+i

Q: Plot the complex numbers -2+i and 7-3i in the complex plane. Imaginary Avis 8. 7- 4 3-+ 2- 1- Real…

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Q: 5–6 ■ Yes or No? If No, give a reason.5. Is every real number also a complex number?6. Is the sum of…

A: (5) Consider the given information as, Is every real number also a complex number?

Q: DeMoivre's theorem to find the indicated power of the complex number. Write the result in standard…

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Q: 11. Divide the complex numbers. 7+ 5 3+ 2i 21 + 10i O1.5. 13 + 13i 31 O 21 10 13 13 O 31 13 13 1 12.…

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Q: 1121 Find the complex conjugate of each number. Find the product of the complex number and its…

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Q: Plot the complex number. 4 - 4i Imaginary Imaginary axis axis 4 – 4 i 2 Real Real -2 4 axis -2 4…

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Q: For each complex number shown, give (a) its rectangular form and (b) its trigonometric (polar) form…

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Q: 29-48 - Polar Form of Complex Numbers Write the complex number in polar form with argument 0 between…

A: To Determine: write the complex number in polar form with argument θ between 0 and 2π Given: we have…

Q: Consider the complex number z = -8 + 8i√3.  Find the fourth roots of z in complex form

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Q: Im working on operations with complex numbers worksheet.  -8(2+7i)+30i 3(5-4i)-(15-7i) 4i/-1+i

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Q: completely factor over the complex numbers 4x^2+20 = 0

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Q: 1. Given two complex numbers z, = 2+i and zz =1-2i. a) Determine the value of k if -= kz, b) Express…

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