Solve the following problems completely. Assume the set of real numbers as the elements of the complex number. 4. Given the following equations: z = −3+ 4i and zw = -14 + 2i Solve for w in the form a + bi and find the modulus and argument of the complex number w. 5. Express the complex number z in the form x + iy, 7-4i z = (2-1)² + 2+i 8

Q: 1. Solve the following complex roots and plot the solutions if

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: For the complex numbers w = 7 + -6 i • z = 4 - 5 i Enter the absolute value of 2w 3z in the space…

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Q: What is the argument of the complex number given by z = (1+ iv3)(1 + i)(cos(0) + isin(0)) Select…

A: We have to find argument.

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

A: Given: z1 = 4 - 2i  , z2 = 3 + i  , z3 = 1 + 2i We need to find cosh1 + 2i. We know that the formula…

Q: Calculate the following complex numbers (i) (1 + 3i)(2 − 4i) (ii) 1 + 3i 2 - 4i 1+ 3i 2 - 4i 10

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

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Q: the argument of the Complex number: Z= ¹+√ √B-j

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Q: 2:+32=4-61

A: we need to find out the complex number (z)"Note in the case of multiple questions posted, we can…

Q: (16—4i) — (12 — 3і) (3i + 7) + (34 – 6i) (-4+7i)+(8– 9i) (-1-i)-(-3– 4)

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Q: 5. Express the following complex number in the form a+ ib, where a snd b are real 3-21 5+31" ( Find…

A: We have to solve given complex number question.

Q: If 'a'is a complex number such that z = 1. Find the value of a, so that the equation az? +z+1=0 has…

A: Explanation of the answer is as follows

Q: Z = (1– j)!-2j

A: We have to find the real and imaginary part of the complex number Z=1-j1-2j. So we have to write Z…

Q: Solve the following problems completely. Assume the set of real numbers as the elements of the…

A: 1. The given complex number z=-9+3i1-2i. We have to find the modulus and argument of the given…

Q: 2. Find all complex solutions: x2 +x+ 2 = 0

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Q: 2. Write the complex number 3+5i 5-3i in the form a + bi.

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Q: Find a complex number z, where (10 + 6i) + z is a real number. i Then find the product of your…

A: A complex number is of the form a+ib ,where a and b are real numbers and i2=-1

Q: Find the imaginary component if the complex number a + bi is raised to m if a = 4, b = 3, and m =…

A: a = 4, b = 3 => a + bi = 4 + 3i m = 9 => (a + bi)m = (4 + 3i)9                            = (4…

Q: Click to see additional instructions Suppose that w is a complex number satisfying the equation w…

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Q: 2. Solve for the complex mumber z in r (4+ 36) – 7 = 7x - 4zi. Show all algebra.

A: Given expression is x(4 + 3i) - 7 = 7x - 4xi

Q: a

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