Find the distance between the pair of complex numbers. (7 - 2i) and (5 + 8i) O4/26 V194 O2/2 2/26

Q: Find the quotient z1/z2 of the complex numbers z1 = 2 - 2i and z2 = 1 - i. Leave answers in polar…

A:

Q: Find all the complex numbers x that satisfy the equation x5 - ix4 + 5x3-5ix2 + 6x - 6i = 0. Then…

A:

Q: Given the two complex numbers: 2₁ = 2 + 4i and Z₂ = √5 -3i 1) Find the value of the complex number…

A:

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.

A: we have to find the quotient of z1z2 where  z1=2cos5π3+isin5π3z2=cosπ2+isinπ2

Q: Graph the complex number on the complex plane.   −2+3i

A: -2+3i

Q: Find all the square roots of the complex number 4 + 2i. Write the square roots in polar (re") form,…

A: As per the company guidelines when multiple questions are posted, only the first question will be…

Q: 2 – 4i 2 – 4i Write 1+ 3i as a complex number. In other words, find real numbers a and b such that…

A: Value=?

Q: 2+5i Divide the two complex numbers:- In other words, write it as a single complex number 3+i

A:

Q: Q3: Express complex numbers to polarform and draw them: 1. 5+2i. 2. 4i

A: As we know that we can represent a complex number from rectangular to polar form as :- Rectangular…

Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b)…

A:

Q: Simplify the complex number z=j(-1+j). Then, find the modulus of the complex number z and the…

A:

Q: Evaluate  3−3i / 1-4i  and express as a simplified complex number.

A: Given,           3-3i1-4i

Q: Find all complex numbers z satisfying z³ = 27i and give your answer as a comma-separated list of…

A: We have to find Z value

Q: Find the distance between the complex numbers in the complex plane. 1 + 4i, -1 + 7i

A: The distance between the two complex numbers, z1=a+bi and z2=c+di in the complex plane is  In the…

Q: 2 – i Find the conjugate of the complex number in the form of a + bi. 1– 2i

A:

Q: Find all the square roots of the complex number – 1– 2i. Write the square roots in polar (re") form,…

A:

Q: The polar form complex number (Z=12i )is

A: given  complex number Z=12i

Q: 3+4i 2i Simplify the expression to a single complex number:

A: We can solve the Complex number expression by using the technique of Complex conjugate . In the…

Q: 2Q Express the complex number 1+ 3i in the form x + yi, where x and y are real numbers. 1-2i

A:

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Given : two complex numbers as  z1=20cos75°+isin75°z2=4cos25°+isin25° To find : The quotient z1z2.…

Q: Find all the square roots of the complex number -1+4i. i0 Write the square roots in polar (re")…

A:

Q: B. Find the indicated powers of the given complex number. Express the result in polar form, then…

A: We have to find   -3 + 3i31  and express this result in polar and rectangular form.

Q: The complex number Z1and Zzare given by, Z1 = 3 – 5i and Z, = -1+4i Determine: 221 + 5Z2 O1+ 10i 01-…

A: Given: Z1=3-5i & Z2=-1+4i We know that; a+bi±c+di=a±c+b±di And ca+bi=ca+cbi, where c is scalar.

Q: Find all complex numbers z such that z2=8−6i, and give your answer in the form a+bi. Use the square…

A:

Q: Find the product of the complex numbers z1 = 1 + i and z2 = -1 + i. Leave answers in polar form.

A: z1=1+i  &  z2=-1+i

Q: 12 · (-3i – 4) = %3D Your answer should be a complex number in the for

A: multiply = ?

Q: Sixth roots of 64i (a) Use the formula z = 0+27tk cos +i sin 0+27tk to find the indicated roots of…

A: We have to find the sixth roots of 64i, using the expression zk=rn(cosθ+2πkn+ i sinθ+2πkn) First we…

Q: Find the midpoint between the pair of complex numbers. (-5 - 8i) and (-3i) O 2.5 + 2. 5i O-2.5 5. 5i…

A:

Q: ind the roots of complex numbers 1. z3 = 2 – 3i

A:

Q: Divide Complex numbers 5 (2i +1) (Refer: use conjugate to simply the complex number) -2i + 1 2i + 1…

A:

Q: Find the product of the complex numbers. Leave answers in polar form. Z1 = 1+ iv3 z2 = -V3 +i

A: We have to find the product of given complex numbers.

Q: Find all the square roots of the complex number 3 — 3і. - Write the square roots in trigonometric…

A:

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Consider the given: z1=cos80°+isin80°z2=cos200°+isin200°

Q: The complex number Z1 and Z2 are given by, Z1 = 3 - 5i and Z2 = -1+4i %3D Determine: 2Z1 +5Z2

A: topic - complex numbers

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: r(cos x + i sin x)= r eix

Q: Use de Moivre's formula to find the Cartesian form of the complex number (-1+iv3) *".

A: The given complex number is                                      -1+i3-7 De Moivre's formula:…

Q: Find the complex number 1, where z, = 3-2.j, z, = 1+4j. Za

A: We need to find the Complex number z1/z2 where z1=3-2j and z2=1+4j.

Q: 11. The vertices of an equilateral triangle are equidistant from the origin. One of its vertices is…

A:

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Given, z1=2+2iz2=1+i

Q: Find the product of the complex numbers.Leave answers in polar form. z1 = 1 + i z2 = 2 + 2i

A: Solution:  z1=1+iz2=2+2i

Q: Let z be a complex number, find therange of real values of a for which the equation. z+alz-1+2i=0has…

A:

Q: - find polar form of the complex number z = (2√3-4i) + (-√3+51)..

A:

Q: Find all complex numbers z such that z2=-15+8i, and give your answer in the form a+bi. Use the…

A:

Q: Find all complex numbers z such that z2=-5+12i, and give your answer in the form a+bi. Use the…

A: The complex number is z2=-5+12i

Q: Find tjhe distance between the pair of complex numbers. (-8 - 7i) and (-10) V73 O45 V53

A:

Q: Find the product of the complex numbers. Leave answer in polar form. z 1 = 4i z 2 = -6 + 6i

A:

Q: Q4\ If z and z are conjugate complex numbers, find two complex numbers, z = z, and z = z,, that…

A: The given equation is: 3zz¯+2z-z¯=39+i12 Let z=a+ib be a complex number satisfying the equation,…

Q: Express the given complex number in rectangular form. Express components in exact form. (No decimal…

A: Given query is to find rectangular form.

Q: Find the quotient z1/z2 of the complex numbers. Leave the answer in polar form with the argument…

A: