2 – 3i 1+5i + 1- i 1.) Simplify: 1- i 2.) Find all solutions to: 3x2 + 8x – 1 = 0

Q: Find real numbers a and b such that the equation is true. a + bi = 9 + 8i

A: A complex number is a number of the form a+bi where a,b are both real numbers. In this form the…

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: complex cube roots of -1 are and and hence prove tha 2 1+v? + v3i - V3i = 2 2

A: We have 1+3i23=-11-3i23=-1

Q: I. Solve using De Moivre's Theorem. Find all the solutions to the equation x* = -8 + 8/3i

A: According to the given information, it is required to find all the solutions to the equation using…

Q: Find the principle root of 8/. (A) 8i = 3 +1 (C) V8i = 3 + 2/ (B) V8i = 23+1 (D) V8i = 2/3 +8i - %3D…

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Q: ++8, Express the answer in rectangular form. (2+3i B. Evaluate the expression () - (). 1+2i

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Q: 2. Find x, y, and z. 23

A: Pythagorean theorem Hyp^2 = base^2 + perp^2

Q: Q has degree 3 and zeros 3, 3i, and −3i. what does Q(x)=?

A: zeros of Q→3,3i,-3i(x-3)=0x-3i=0x-(-3i)=0x+3i=0

Q: Find real numbers a and b such that the equation is true.a + bi = 10 − 5i

A: A number of the form a+ib is known as the complex number. Here i  is known as the imaginary unit. A…

Q: Solve for 0 if-4sin 0 + 6 = 2 and 0 <0 < 2n. List your answers as exact answers in terms of t,…

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Q: Perform the indicated operations and express your answer in the form a + bi. √ (4 + 3i) (3i - 4)

A: Given expression is 4+3i3i-4. To perform the indicated operations and express answer in the form…

Q: Visualize the addition of (3 + 6i) + ( – 7 – 8i) by plotting the initial point, and the result. 10+…

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Q: Find the sum or difference. (3 -4 i)- (5+5i)-(-5+ i) (3 -4 i)-(5+ 5 i )-(-5+i)= (Type your answer in…

A: Given expression is  3-4i-5+5i-(-5+i)

Q: Find the exact values of all solutions of the equation 3cosx+8sin(x/2) +5=0,where x∈[0,2π)

A: To find the exact values of all solutions of the eqaution, 3 cosx+8 sinx2+5=0, where, x∈[0, 2π)

Q: Solve the equation 2sin2 x = 4sin x + 6 on the interval [0, 2π).

A: According to the question, we have to solve the trigonometric equation 2sin2x=4sinx+6 on the…

Q: Find all degree solutions of 26sin x+13/2 = 0.

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Q: Solve for the value of x and y from the given equation (2x + y) + (x - y)i = 4 - 10i X= -2, y =8 x =…

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Q: 11. Show that 1 + 4i is a root of the equation 2z3 - 3z2 + 32z + 17 = 0. Hence, find all the roots…

A: Answer

Q: Solve: (a+ib)? = 7 24i 2. %3D |

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Perform the indicated operations and express your answer in the form a + bi. √ (3 + 4i) (4i - 3)

A: The given expression is 3+4i 4i-3. Simplify as follows.

Q: The value of V(-25) is * О -5i 4i 5i оооо О -4

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

Q: What is the sum of 2 + 3i and -1 + 7i? A 1+ 10i 3 – 4i

A: here we want to add 2+ 3i and -1 + 7i

Q: [(5+ 2i)(-1+ 4i) – 5260°]*

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Q: Solve for z, and give your answer in the form a+bi. z+3z = 5-3i+(-25–5i) z = 0

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Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

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Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

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Q: For a positive integer n, the complex number z = r(cos e + i sin 0) has exactly n distinct nth roots…

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Q: Find real numbers a and b such that equation is true.  a+bi=7+2i a= b=

A: Here we need to use equality of two complex Numbers  Real parts are equal  and imaginary parts also…

Q: Find the solutions of the equation.

A: We have to solve the equation x+y+3i=7+yi. Separating the real and imaginary parts separately, we…

Q: 4. Simplify 3- 2i / 1+i into the form a + bi 5. If 2 - a – 5i / (1 – bi) = 3 – 5i, find a and b

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: Find the rectangular and Euler form (1+2i)² of -12+9i

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Q: What is the value of (3+2i)³ + (3- 2i)6

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Q: Express in the form , where a and b are a+bi real numbers.

A: To express the given expression in the form of (a+bi),where,(a,b∈R). (4+2i)(-5+4i) Solution:…

Q: 5) (2i – 4) – (6i + 8) -

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Q: Question 2 :Solve the following equation. (1+ 2i)z? + (3 + 4i)z+ (5 + 6i) = 0 %3D

A: Given equation is : (1+2i)z2+(3+4i)z+(5+6i)=0    .....(1) which is a quadratic equation in z. We…

Q: solve for all solutions : 6sin t -4 = 2sin t

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Q: '5 - i хі+ C) y = 7+ 2i 3 +i,

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Q: The solution I recieved was marked incorrect. It says the correct answer is -8-8i√3. How did it get…

A: Previous expert used different values of thetha. That's what answer was incorrect. The correct…

Q: Multiply (6 cis 300°)(2 cis 30°) and express the answer in rectangular form. Give an exact answer.

A: According to the given information it is required to solve the expression and express the answer in…

Q: Find the three roots of (-6 + 4i)'/3 Enter these in order of increasing angle, going from ) = ()…

A: Firstly find the tangent of angle using the below formula. If z=a+ib the acute angle θis…

Q: Solve the following expression in the form of a+ bi : i) (-3+4i)(7–1li) 11-2i -2-5i 2+3i 1 +. 2-3i…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: What are the fourth roots of 2/3 – 2i ? Enter your answer by filling in the boxes. Enter the roots…

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Q: Find all solutions 4 + 6sin(3x)=0

A: Given,          4+6sin3x=0

Q: Solve 6sin(2B) + 8sin(B) = 0 for all solutions 0

A: Solution: The objective is to find the solutions of the given equation

Q: (5) Yz-3-4i, what is in standard form a+ ib?

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Q: Find all solutions to the equation below in the interval [0,2π). Give all answers as exact values…

A: The given equation,       2sin2θ-3sinθ+1=0

Q: find w., of ((1+ 2i) + (3 – 4i)) 7

A: Given that, 1+2i+3-4i12

Q: 3- 4i 6. Write in the form a + bi. 1+ 2i

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Q: 3) Solve the equation for "0". Answer to be in degrees. 7sin (0) = 4

A: The given expression is as follows. 7 sin2θ=4 Rewrite the given expression as follows. 7…