3. What are the roots of - 5x2 36 =0 1. (3i, -3i,-2, 2} 2. (-2i, 2i,-3, 3} 3. (9,-4} 4. {-9,9,-4i, 4i }

Q: 1) (7+3i) + (5-4i) 2) (3+4i) - (5-3i) 3) (2i+ (-3-4i) -(-3-3i) and 4) (5-3i) + (3+5i)-(8+2i)

A: The given problems  1) (7+3i) + (5-4i)   2) (3+4i) - (5-3i)   3) (2i+ (-3-4i) -(-3-3i)   and 4)…

Q: 4. Given that 3-2i is a root of the equation z-6z³+18z²+pz+65-0, find all the roots and the real…

A: If  is a root of  then its conjugate  is also a root of  and hence  is a factor of .

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: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: Solve, giving 4 roots, x*- 13x + 36 = 0 O 1) 2,3, O 2) -2, 2, -3, 3 O 3) -2i, 2i , 3 O 4) -3i, 3i,…

A:

Q: = 5i + 4j and v=4i - 3j, determine -9u - v. Given u O-9u - v = -49i - 33j O-9u - v = -40i - 42j O-9u…

A:

Q: Which of the following is not a real number? (1) (6 + 2i)(6 – 2i) (2) (–2i)12 (3) (3 + 4i)(-4i) (4)…

A:

Q: Evaluate In(-3).

A: Let us consider a complex number z then it is of the form a+ib where a is real part and b is…

Q: Determine which of the expressions are equivalent. Equivalent Expressions : (4- i)(5i+ 1) : 10 - (4–…

A:

Q: What is the multiplicative inverse of the complex mumber z = 2-5i? 2 В. 29 29 c (1) D. (;=) А. C.…

A:

Q: 3. If the expression was placed in the form ax where a and b are real numbers, then which of the 2x…

A:

Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

A:

Q: The roots of the auxiliary equation m² + 6m +11m+6 =0 is b) m=-1,2,3 a) т%31,2,3 с) т%3-1,-2, -3 d)…

A:

Q: Select all the solutions to (-2) = -16.

A: Given equation - x-22 = -16x-2 = ±-16x-2 = ±-1×16x-2 = ±-1×16x-2 = ±i×4 where,i = iota = -1…

Q: (3 - ) (2 + 3i) 17. 1 + i (1 + ) (1-21) 18. (2 + i) (4 – 3i)

A:

Q: How do I plot -7+i and 8-6i os it on the -7 and 8 since -6 is on th imaginary line

A: To plot these complex numbers, we need to draw a complex plane.Complex Plane: Here, X-axis is the…

Q: 14. (−1+i)¹⁰ = ? (Convert to a + bi form)

A:

Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

A:

Q: 2. What are the 2 solutions to x² - ix +6 = 0? O- 2i, 3i 5 1 | /23. 1 23 2 O-3i, 2i

A: Consider the equation

Q: 10. 2r + 3y +3: = 29 3r+ 4y +5z = 40 -3r - 5y - 4: =-47

A: Given2x + 3y + 3z = 293x + 4y + 5z = 40-3x - 5y - 4z = -47In matrix form the system of equations can…

Q: 11. (2 + 3) 12. (1 - 5 2 13. 14. 1 + i 2 - 4i 15. 3 + 5i 10 - 5i 16. 6 + 2i

A: follow next step

Q: 20. Express (-3 - 8i) (-7 + 2i) + (7 - 3i) in simplest a + bi form

A:

Q: 26. A = 2î + 25 27. B = -2î + 2ĵ 28. Č = 3î + j y 24 24 1. -3 -2 -1 32 -1 -1 -3 -2 -1 3. 2. -1 -1 -2…

A:

Q: Write the expression as a complex number in standard form. I) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

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Q: 2 The roots of the equation X + 2x+ 5 0 a 1) -3 and 1 2) -1, only 3)-1+ 2i and 1- 2i 4) -1+4i and…

A: given equation :

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

A:

Q: What are the solutions of 2x2 + 3x = -5? -3tiV31 4 -3+7i 4 -3tiv19 4 -3+4i 4

A:

Q: 6. Write the complex number is standard form (a + bi) 14- V-98 -7

A: As we know from the radical rule: -a=-1a   Given: 14--98-7

Q: 4. (-3i)(4i)(-5i) 5. (7i)(6i) 6. i42 7. i56 8. i s0 9. (5- 2i) + (-13 – 8i) 10. (7 – 6i) + (9 + 11i)…

A: First I have written the property of iota (i ) and then using them find the Solutions. All the…