Use DeMoivre's theorem to find the three cube roots of the following number. - 4- 5j What are the three cube roots of - 4-5j?

Q: Determine the cube roots of z =(3 − j2)∗. Express your answers in rectangular form

A: Given term is: z=3-2j

Q: Find the four fourth roots of -1 -√3 i.

A: Given, z=-1-3i

Q: Find the three cube roots of -8i.

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Q: Find the cube root of unity using De-Moivre's theorem and apply the same theorem to find the square…

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Q: Which of the following is not a root of the cube root of 1? o 1 iv3 - 2 iv3 - - 2 2 1 iv3 - 2 2

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Q: Find the 4 fourth roots of -8+8i(square root of 3)

A: Let, z=-8+83i Since, nth root of any complex number w is defined as, wn=rncosθ+2kπn+isinθ+2kπn

Q: Determine the values of m so that the roots of 2a? ma – 8 = 0 differ by m -1. O 9 and 3 O -10/3 and…

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Q: Describe the roots of the equation 7x2 – 6x + 12 = 0 | O real and unequal imaginary O real and equal…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: Find the fifth roots for -16-16/3i

A: Consider the given complex number. z=-16-163i=x+iy x=-16  and y=-163 Convert it into polar form.…

Q: Find the distinct roots of (-1 – 3j)°/7

A: Given: The objective is to find the distinct roots of -1-3j37.

Q: Which of the following are the cube roots of Check all that apply. 27i -3eTi/6 3e5mi/6 V27e3i/2 -31

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Q: 71. The square roots, cube roots, and fourth roots of 1 are shown in the figure from left to right,…

A: From the following figure square root of 1, cube root of 1 and fourth root of 1 is givenTo descrite…

Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: Q/ Find the six sixth roots of 64.

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Q: Use the given information to find the remaining roots. -2+2i is a root of x-x-6x2-16x +48=0 The…

A: we use long division method

Q: Find the fifth roots of ( -128  + i)

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Q: Find the four roots of ( 3+14)

A: The given problem is related with complex analysis. We have to find the four roots of 3 + i4. Note…

Q: 3.11 Use 5-digit arithmetic with chopping to determine the roots of the following equation with Eqs.…

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Q: Stuck on this problem.

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Q: Find the real square roots of the number. 16 Select the correct choice below and, if necessary, fill…

A: √16 √(2.8) √(2.2.4) √(2.2.2.2)

Q: Find the 99th roots of 12-13i

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Q: The fifth roots of 1 are

A: We have to find the fifth root of 1. Let z=15 ⇒z5=1 We know that e2kπi=1 for every k∈Z. Hence,…

Q: Find the three third roots of 4

A: Explanation: Given that,  π4 Need to find the three third roots or cube roots.

Q: 3. the cube roots of – 27 + 27i

A: Topic:- complex number

Q: Find the distinct roots of (-7 + 2j)3/4.

A: We know that, 1.Let z =rcosθ +isinθ    then zn =rncosnθ +isinnθ 2. A number u is said to be an n-th…

Q: Use DeMoivre's theorem to find the three cube roots of the following number. - 4- 5j

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Q: Find FOUR FOUsth roots -1+ 9i

A: Given complex no. is - 1+9i = z-1+9i can be expnessed as . (-1)2 + (9)2 [180-tan-1(9)…

Q: Find the four fourth roots of -16.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find all the complex cube roots of 1. Write the roots in rectangular form. (Type your answer in the…

A: Given query is to find complex cube roots of 1.

Q: 15. Find the two square roots of the following and write your answer in standard form. 2+ 2iv3

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Q: Find non-zero real number values of a, b, c, and d such that the sum (a + bi) + (c + di) is... -a…

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Q: Find the three cube root of -8i

A: -8i3

Q: Q) use demovier's theorm to find the three cubes roots of the following number                =…

A: Let us first try to express given complex number in r,θ form i.e., rcosθ+isinθ -4-5i=-4+5i divide…

Q: Find the two square roots of 1 + √3 i.

A: We can use the standard form of complex number to solve the square root of the equation. We have to…

Q: Find the 9 9th roots of 12-13i

A: 12-13i = re-iθr=122+132=313θ=tan-11312=-47.28

Q: I. Solve using De Moivre's Theorem. Find the 9th roots of 12 – 13i

A: Consider the provided question, According to the given information, it is required to find 9th roots…

Q: Find the 5 fifth roots of -4+5i.

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Q: Find the four fourth roots of -8 + 8√3 i.

A: Given  The complex number is -8 + 8√3 i .

Q: solve and prove sum and products of the roots x?+xt10 2.

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Q: Q 3: (Choose one) (1)Find the three cube roots of 1?

A: "Since you have posted multiple questions, we will solve first one for you. To get remaining solved…

Q: Find the indicated powers and roots, giving the results in algebraic form: 1) the cube roots of – 8…

A: The cube root of the expression – 8 + 8i is given as: -8+8i3

Q: 3. Determine the cube roots of 8 at 120 degrees.

A: We have to determine the cube roots of 8 at 120 degrees. We will convert it to polar form and use…

Q: 5. Find the two square roots of -5 + 6i.

A:

Q: State true or false with brief justification If B, and B, are two 10™ roots of unity, then Q(B) =…

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Q: Find the three cube roots of -i.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Evaluate the cube root of z = 27cis (240°). Then raise them to cube. Show steps of your reasoning.

A: Using Demoivre's theorem, one of the cube roots is 2713cis(240°3) =3cis80°We know that the cube…

Q: Use the given information to find the remaining roots. 5+2i is a root of x-12x +51lx2-78x+58=0 The…

A: From the polynomial of 4th degree

Q: Find the three cube roots of -27.

A: We have to find the three cube roots of -27. We have to solve the following equation for x: x3+27=0

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.