8) Find the sum of -2 + 3i and -1 - 2i. Graph the resultant on the accompanying set of axes.

Q: Simplify the complex number (Z^3) * ?and find the Re(z) & Im(z)

A: From De Moivre's Theorem we have,  Let z=rcosθ +isinθis a complex number in polar form. If n is a…

Q: Find the product of (2+3i) and (5-4i).

A:

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: find all complex-number solutios (x+5)2 = -108

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Q: Write the number 1 + i/2 - 3i in standard form a + bi. please show steps

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Q: (j4 +43)(2cjs(-35°))" . Let w= (32cjs40°) - Simplify o and write it in rectangular form.

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Q: 4.7i+6.13i+5.6

A: Step 1:given 4.7i+6.13i+5.6 Step 2: Add 4.7i+6.13i You get 4.7i+6.13i=10.83i   Step 3:Now 10.83i +…

Q: Solve 3x3 + 2x - 1 = 8x2 - 4 in the complex numbersystem.

A: The given equation is 3x3+2x-1=8x2-4. Solve this equation as follows.…

Q: simplify each complex fraction. (3 + 2/(n + 4))/(5 - 1/(n + 4))

A: Solution: Consider the complex fraction: 3+2n+45-1n+4 we have 3 + 2 = 5 5 -1 = 4 Then 3+2n+45-1n+4 =…

Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: (3-5i)-(7-8i)

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Q: The conjugate of -4 -3i is............

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Q: EX- Find Lim -im Z-2Z+4 Z-1-13i

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Q: If =1-i and =5-21 then draw the following complex numbers on the Argand Diagram: (a) 2, + (b) 4-4…

A: The objective of the question is drawing the given complex numbers on the Argand plane (diagram).

Q: 1. Write the complex number i+2 in the form of rei® .

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Q: (5i-3)(5i+3)

A: To determine the product.

Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

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Q: find (1+2i)^5/3 write your final answer in a+bi form

A: We have to express in terms of a+bi.

Q: 5) (2i – 4) – (6i + 8) -

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Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: Plot the complex number and its complex conjugate. 9 - 6i Imaginary axis 10- 8

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