Consider the following. Square roots of -36/ (a) Use the formula z • Vilcos! 0+2rk n Zo - Z₁ = (b) Write each of the roots in standard form. Zo Z1 = +/sin in 0 + 2ak) (c) Represent each of the roots graphically. Imaginary axis to find the indicated roots of the complex number. (Enter your answers in trigonometric form, Let 0 0 < 2.) Imaginary axis

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: 4. (choose one.) (a) Find all 3rd roots of –8i. (b) Find all complex roots of the equation 26 = –9

A: 4) a) Given:          cube roots of -8i we write in trigonometric form:          =8cos-π2+isin-π2 we…

Q: 3 2 f(x) = 2x -x + 11x² - 4x+12

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Q: Consider the following. 9+12i/ 1- square root 3i (a) Write the trigonometric forms of the complex…

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Q: Find all complex numbers z satisfying 24 = -1 and give your answer as a comma-separated list of…

A: Given that the complex equation z4=-1

Q: x-2020° (2+2) Solve for 10040°-xc (2+46) 5040⁰-X (126) x Using Complex Numbers +

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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: -2i · (2+6i) = Your answer should be a complex number in the form a + bi where a and b are real…

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Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Simplify the following expression involving complex numbers: (1-i)2-5i – (3+4i), Write the result in…

A: Let's find.

Q: Find all the roots of the following complex numbers and sketch them on the Argand plane (-v3 – 1)/

A: Let  z=(-3-j)3/4 ⇒z=(-3-j)314…

Q: Find all complex numbers z such that z²=-7+24i, and give your answer in the form a+bi. Use the…

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Q: Consider the following. cube roots of −(27/2)(1+ sqrt3 i) (a) Find the roots of the complex number.…

A: Given : z3=-2721+3i

Q: Write each complex number in standard (or rectangular) form. Give exact values in your answers (not…

A: Step 1:To convert these complex numbers into standard (rectangular) form, we can use Euler's…

Q: 5. (a) Let z = (a + ai)(b+ bv3i) where a and b are positive real numbers. Without using a…

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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: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: Given: Complex numbers are z1=2+j3, z2=-1-j2 and z3=4+j4. To find:…

Q: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given

Q: Find the roots of the following complex numbers. Enter your answers as a comma-separated list. A…

A: find the roots of complex numbers a.2i

Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized

Q: Solve using complex analysis: 1²t Jo 5-4cos(0) 2 cos(30) -do

A: Given: ∫02πcos3θ5-4cosθdθ. We have to solve using complex analysis.