Multiply. [x-(4+2i)][x-(4-2i)] Note that these expressions contain complex numbers. Simplify your answer as much as possible.

Q: Combine the complex numbers. (8- 7i)-(2-4i) 6-4i 6-31 7-4i 7+3i 7-3i

A: See attached file for a step by step explanation to find the required complex number.

Q: How do you find the inverse of a complex number? The number in question is: z = 4 + 3i

A: The inverse of a complex number z is 1/z.Given: z = 4+3iThe inverse is,

Q: Multiply. [x-(3+6:)][x-(3-6i)] Note that these expressions contain complex numbers. Simplify your…

A:

Q: The conjugate of the complex number -4 – 3i is a) 3 – 4i b) 3 + 4i c) -4 – 3i Qd) -4+ 3i

A: A conjugate is where we change the sign in the middle.  i.e        Conjugate of a+ ib = a- ib

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: 6-3i--2+5i

Q: Represent the complex number geometrically.-2 - 6i

A: Complex numbers are defined as numbers in the form z=a+bi where ii is the imaginary part and a and b…

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

A: Given,           3-3i1-4i

Q: Simplify the complex number i .61 as much as possible.

A: We will use following relation to minimize the given complex number. i2=-1 and i4=i2×i2=-1×-1=1

Q: Determine the magnitude of the complex number, X. X = 5 + -9j ---------------------       x=5+…

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Q: Divide. -5i -3-2i Write your answer as a complex number in standard form.

A: The given expression is -5i-3-2i

Q: Simplify over the set of complex numbers. V-100 (31) 1. 2. 3.

A:

Q: For the complex number 3  4i the real part is ,and the imaginary part is

A: Complex number: The complex number is 3+4i For any complex number a+ib the real part is a the…

Q: 6) Solve and write your answers in standard form of complex numbers. x(x – 4) = -5

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Q: Multiply. (-3+2i)(-4+5i) Write your answer as a complex number in standard form.

A: The complex number is -3+2i-4+5i

Q: Write the following as a complex number in the form a+bi x4-8x2-48=0

A: To write the following as a complex number in the form a+bi x4-8x2-48=0

Q: Divide. -3+5i 5+6i Write your answer as a complex number in standard form.

A:

Q: Represent the complex number geometrically.-(3 - 6i)

A: Represent the complex number geometrically.-(3 - 6i)=-3+6i

Q: Multiply. (-3+2i)(-4+5i) Write your answer as a complex number in standard form. i

A: Given (-3+2i)(-4+5i)=-3*-4+(-3)*5i+2i*(-4)+2i*5i=12-15i-8I+10i^2

Q: Simplify the complex number i^51 as much as possible.

A: Consider i51, i51=i412i3=i412·i2·i It is known that i4=1. So, i51=112·i2·i=1·i2·i=i2·i

Q: What is the complex conjugate of the root æ 3i? O a = -3i

A: if a+ ib is the complex then its conjugate root is a-ib

Q: Multiply the complex number by its conjugate. Simplify the result. 3 + 2i

A: The conjugate of 3+2i is (3-2i). Then we multiply them (3+2i)(3-2i)=9-6i+6i-4i2=9-4i2=9-4(-1)=9+4=13

Q: 7. (13+ 11i) - (-19)

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Q: Simplify the complex number i 35 as much as possible.

A: See solution below

Q: Divide. -2+5i 5+3i Write your answer as a complex number in standard form.

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Q: Evaluate (3+5i)(−2−2i)and express as a simplified complex number.

A: We have to evaluate (3+5i)(−2−2i)

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: Perform the indicated operations and express the answers in the standard form of a complex number.…

Q: 2. 3-6.-3 %|

A: Use the following formulae, to obtain the solution. i2=-1i=-1x·y=x·y

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

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Q: multiply the complex number by it conjugate. simplify the results 3+2i

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Q: Write the complex conjugate of -4+4i in exponential form.

A: The complex number z=x+iy=reiθ where r=x2+y2,θ= tan-1yx

Q: Simplify the complex number i .63 as much as possible.

A: To simplify the complex number i^(63) as much as possible.

Q: Multiply and simplify the following complex numbers: (-3 – 2i) · (-4 + 2i)

A: Multiplication of complex numbers is same as normal multiplication. We simply multiply both numbers…

Q: Write the complex number i+2 in the form of rel0

A: image is attached with detailed solution.

Q: Subtract. (4-6i)-(6-4i) Write your answer as a complex number in standard form. i

A: Given:- (4-6i)-(6-4i) To find:- standard form of given complex number  standard form of complex…

Q: Solve the equation using the quadratic formula. x + 8x-6=0 X= (Type an exact answer, using radicals…

A: Solution of the quadratic equation ax2+bx+c=0 is  given by quadratic  formula x=-b±b2-4ac2a

Q: - 4 as a complex number (in terms of i): |-4 =

A:

Q: Simplify the complex number i^43 as much as possible.

A: To find the value of complex number  i43

Q: Divide. 6+6i 2-3i Write your answer as a complex number in standard form.

A: We will use rationalization of the denominator.

Q: Use the square root property to solve:(x+9)^2+27=-5.  Write the complex numbers in the form  a+bi…

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Q: Identify the real and imaginary parts in the following complex number: -9 -12i

A: Given complex number is : -9 - 12i The real number a is called the real part of the complex number a…

Q: implify the complex number i .49 as much as possible.

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Q: What is the real and imaginary parts of the complex number -5/6i

A: z = - (5/6)i can be written as, z = 0 + (-5/6)i

Q: Combine the complex numbers. (9+2i)-(5+6i)

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Q: = - z. - z.

A: We have to solve given problem:

Q: (-5-5i)+(-2+2i) Write your answer as a complex number in st.

A: Given complex number is: -5-5i+-2+2i To add the given complex number.

Q: Multiply and simplify the following complex numbers: (5-5i)·(- 3+5i)

A:

Q: Solve 2x2 - x + 4 = 0 over the set of complex numbers.

A: Given that, 2x2-x+4=0

Q: Solve 3x2 - x + 4 = 0 over the set of complex numbers.

A: Given : 3x2 - x + 4 = 0   Use the quadratic formula to find the solutuons.   x = (-b ± √b2 - 4ac)/2a…

Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

A: