Add the complex numbers. Express your answer in the form (a + bi). (8 – i) + (-3 - 4i) E Tutorial

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: (-4+5i)(-6+6i) - your answer as a complex number in standa

A: Here we have to Multiplying (-4 + 5i)(-6 + 6i)

Q: Consider the complex numbers w 4- 3i and z= -3+2i. Find the following. (Simplify the answers and…

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Q: 32/-20° (b) (6 - j8)(4 + j2) 20 10+j24 -

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Q: Subtract the complex numbers. Express your answer in the form (a + bi). (3 + 4i) – (6 - 7i)

A: According to the question, we have to subtract the complex number 3+4i-6-7i and express the number…

Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Find the following quotient. Write your answer in standard form for complex numbers. 3 + 6i 3 - 6i

A: solve the following

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: Rewrite the complex number 9e2.54 in a + bi form

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

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Q: Find two square roots for the complex number. Write your answer in standard form. - 8 - 8i3 O 2y2 +…

A: We have to find the two square roots of -8 - 8i3.

Q: Determine the absolute value of the complex number z = 3 + 4i

A: Given: z=3+4i

Q: Add the complex numbers. Express your answer in the form (a + bi). (8 - i) + (-3 - 8i) 123 Tutorial

A: Given two complex numbers      Adding real parts and imaginary parts of two complex numbers

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

A: multiply = ?

Q: convert complex numbers to trigonomettic form and then Simplify the expression write the answer in…

A: 3-3i36=361-3i6=361-3i23=361-3-23i3=-23.361+3i3=-23.361-33i+33i-9=-23.36-8=26.36.…

Q: Plot the complex number. -3 + 21

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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: Q.4.3 Find the square of the complex number 2-2i and write the answer in the form a + bi where a and…

A: Given: 2-2i To find: Square of 2-2i.

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: Perform the indicated operation with complex numbers. (Simplify your answer completely.) (4 - 8i)(9…

A: We have to perform the indication operation with complex numbers (4 - 8i)(9 + 7i)

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: -1 +3i vhat is the real part of the complex number: 7 = 2 A) -1/2 B c) -1 D2V3 2.

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Q: R5 cis 1

A: Solved below

Q: Write the standard form of the complex number. 5t + i sin Plot the complex number. Imaginary…

A: Please refer the attached image for complete solution.

Q: Find the value of x in the complex equation (2x - 3yi)(3 + 4i) = 78 - 21i %3D

A: Given complex equation (2x-3yi)(3+4i)=78-21i To determine the value of x  First multiple left hand…

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

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Q: Solve x2 + 25=0 over the set of complex numbers. A ±25 土5i C +5 D +25i

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Q: Divide: 4-3i/8+i. Express your answer as a complex number in simplest form.

A: 4-3i8+i=4-3i8+ix8-i8-i=32-4i-24i+i282-i2=32-28i-164-(-1)

Q: -8i · (12 – i) = Your answer should be a complex number in the form a - where a and b are real…

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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: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

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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: Plot the complex number. 6V2 - 6/2i

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Q: Q5- Simplify the complex number (use the positive root only) 2 3-4i (i)42 + 12-V-64 | 1-4i 1+i) 5+i…

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Q: Rewrite the complex number 3e1.5 in a + bi form

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Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

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: 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: 7. Plot the complex number 3 - 6i

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Q: Q.4.4 Find the sum of the complex numbers - 2 - 4i and 3-i

A: The given complex numbers are                               -2-4i   and  3-i. We know that if…

Q: Write the conjugate as a complex number  −7 + 5i

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Q: Multiply the complex numbers and simplify the result. (Express your answer in the form (a + bi).) (2…

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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: 49 Simplify the complex number i" as much as possible.

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Q: Determine the absolute value of the complex number z = 5 + 12i

A: We have to find absolute value of complex number: z=5+12i We know that if we have complex number…

Q: Write the complex conjugate of the complex number. -3 - V3i -3 + V 3i Multiply the number by its…

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

A: on taking the conjugate of the (12-11i) and than doing multiple we get

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.