Find the imaginary component if the nth root of  a + bi is determined for a = 9, b = 3, and n = 6. Round off your final answer in five decimal places.

Q: B. Find all roots of (2i)2

A: for finding roots note 2 point a² + b² + 2ab = (a+b)² i² = -1

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: Find the value/s of k in the given equation in order to have two distinct imaginary roots: 2x2 + 4x…

A: 2x2+4x-k=0 Given : the equation has two distinct imaginary root  When the roots are imaginary then…

Q: Solve the following equation for b. 1 A= b°c b = (Type an exact answer, using radicals as needed.…

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Q: Find the square root of the following complex number z = 1 + 7i

A: To find  the square root of z=1+7i i.e. 1+7i

Q: Find the complex roots of the equation z = 1 + i

A: We have to find the complex roots of the equation z5=1+i.

Q: Transçorm the complex number into its tectangulan and exponential form.

A: We use transformation formula to write it in exponential form. The given complex number is already…

Q: Find the two square roots of i.

A: Let's assume  i=a+ib                                                          ..1 Where, i=-1

Q: -3X1 + 9X2 + X3 = 6

A: Given,        -3X1+9X2+X3=6       5X1-4X2+15X3=9            4X1-X2+2X3=15

Q: Find the roots; express results in Rectangular Form, correct to 3 decimal places. 6(1 + 3i)4 +…

A: The given problem is to evaluate and simplify the given complex expression and express the results…

Q: 1. Write the equation to a quintic with double roots -6 and 8, that goes through the origin as well…

A: According to question we have to find the quintic equation with Double roots -6 and 8 and that goes…

Q: Use De Moivre’s theorem to find the roots of Z³ = 27i

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Q: Find all solutions of the equation x^2+8x+65=0 and express them in the form a+bi

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Q: Find the following: (a) (-1-i)7. (b) Square roots of 4√3+4i.

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Q: (b). Apply Newton's Raphson method and find the roots of the equatione-2x = 5x + 2, %3D corect to…

A: Let fx=e-2x-5x-2 ,then f(x)=0. Sine Newton's Raphson method is  xk+1=xk-fxkf'xk     , k=0,1,2,...…

Q: Find the roots, including the complex ones, of 2x³– 3x? = 1 using Newton's method.

A: To find the roots using Newton's method, 2x3-3x2=12x3-3x2-1=0Let, f(x)=2x3-3x2-1…

Q: A.x²_5X +4=0 By Qua dratic Formula: B. X +X + 20=0 By Completing the square:

A:

Q: Find the exact solution of the equation. 4sin-1x=pi

A: Now we will find the solution.  We know,  sin(pi/4) = 1/sqrt(2)

Q: 4 Get all the roots of 2(V3i – 1) |

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Q: The product of the roots of equation 3x +9x-12=0 is إختر أحد الخيارات: -4 .a O .b O None of these cO…

A: Equation : 3x2 + 9x - 12 =0

Q: Find the roots of z = v5 – 6i %3D -

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Q: Find the complex cube roots of 27 (cos 306° + ? sin 306°)

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Q: Solve the following  complex numbers in their rectangular form.  Where in Z1=2+4i, Z2 = 5e2i and Z3…

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Q: Find FOur Fousth Roots of -1+2i

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Q: Express the following complex number in exponential form: (3 - 4) O -V5e-5.36/ 5e5.361 5e-5.36i…

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Q: he following  complex numbers in their rectangular form

A: Given,              logZ1Z3Z2 Where in Z1=2+4i, Z2 = 5e2i and Z3 = 4 cos 40°

Q: Q4 Find a cube root of the number Z 18 +26i and put this cube root in the "Cartesian" form Z a+ bi…

A: For a complex number of the Cartesian form: Z=a+bi, the real part is a and the imaginary part is b.

Q: Find the real component if the nth root of a + bi is determined for a = 9, b = 5, and n= 4. Round…

A: The given problem is to find the real component of the complex expression with given unknown…

Q: Solve the following complex numbers in their rectangular form. Use 4 decimal places for the…

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Q: Simplify: i29 + i²1 + i2050 in form a + bi.

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Q: Solve the following equation and find x: 2 cosh 2x +10sinh 2x 5

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Q: Find all three cubic roots of -8i.

A: Given complex number,  Z = -8i To find the cube roots of z => z1/3

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: Identify the roots for the equation 5 x 2 + 2 x -4. -1+iv19 10 iv19 -1- i/19 -1+ i/19 i/19 -1-i/19…

A: The objective is to identify the roots of the given quadratic equation.

Q: Express the complex solutions of the equation z^n + 1 = 0, where n ∈ N, in  terms of roots of unity.

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Q: Solve for x in the right triangle in Figure 8.

A: We have to find the value of x for the given right angle triangle: From the given figure we can…

Q: d. Find the 3 third roots of 1 and show their geometrical representation.

A: Let the cube root of 1 is "a"13=aCubing on both sides we geta3=1 or a3-1=0we know that…

Q: Evaluate all the roots of the equation: z* +1 = 0

A: Given equation is z4+1=0. We have to evaluate the all roots of the given equation. Subtract 1 from…

Q: The reciprocal of a complex number x+jy is

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Q: Find the three roots of (-6 + 4i)'/3 Enter these in order of increasing angle, going from ) = ()…

A: Firstly find the tangent of angle using the below formula. If z=a+ib the acute angle θis…

Q: Find all solutions of the equation and express them in the form a + bi.

A: Given: 70. t+3+3t=0

Q: Let E be a complex variable and the square for real number E=0, let |E = 1. Find the roots for E %3D

A: For a complex variable E = a + ib  [,where i = √(-1) and a, b belongs to R (set of real number)] ,…

Q: . Find all complex solutions to the given equation (1) x3+8i =0

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Q: Find the 3 cube roots of 1, that is find   11/3 And Plot them in the complex plane

A: The graph can be drawn with real part as x axis  and imaginay part as y axis

Q: ・X1 TE 91-8

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Q: Find the distance d between z1 = (-7– 6i) and 22 = (-15 – 12i). %3D

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Q: Find the complex roots of t

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Q: Find all the third roots of i and plot th

A: To find: All the third root of i

Q: Q2\ If z = 1 + i, what is z + z? + z + 1 as a single complex number?

A: