4. Given that z₁ = 1-5i and 22 = 3 + 4i, find (a) Z1/Z2 (b) Z1/Z2 (c) 21/Z2

Q: Find all solutions of (a) 4 = -1 24 (b) 2³ = 8i (c) 25 = 1 (d) z² = 1 + i

A:

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: b) (9x²-6x+26) *

A:

Q: Express the following in the form a + ib (for real a and b): 1 (a) 6+2i (b) (-+ i)¹ (c) i², i³, i4,…

A:

Q: (1-6i)/(-10+8i)

A: Let

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

A:

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

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: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: 30) What is the difference when (4 – i) is subtracted from (2 + 5i)?

A:

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: (15x - 8) 226

A: Given,

Q: why can't formula #5 be applied to ∫ xdx/ (5+7x)^2

A:

Q: what is the answer for (-4-5i)(3-3i)

A: To multiply the given two complex numbers.

Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…