When 3+4i / 2+i is expressed in the form a + bi, what is the value of a?

Q: Evaluate the expression (6 – 7i) + (3 – i) and write the result in the form a + bi. |- -

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Q: 17. Express 4xi + 5yi + 6xi? + 2yi“ in simplest a + bi form.

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Q: 5(2-3i) – 4(4+6i)

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Q: IF A= 3i-2j find A.A *

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Q: How to write the result in the form of a + bi?

A: Rationalize the given complex fraction.

Q: (1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

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Q: Evaluate the expression (3 + 4i)( – 2 – i) and write the result in the form a + bi.

A: We will multiply it directly.

Q: If a = 2x -5i and b: 5x, then find the value of ab in fully simplified form.

A: Given,          a=2x-5i and b=5x

Q: Express the product of 5iª(-7+ 9i8$) in a + bi form.

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Q: Write (3+2i)^4 in the simplified a+bi form

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Q: Simplify the expression to a + bi form: (-9 – 7i) + (–2 + 6i)

A: We know that if we add two complex number then the real part is added to real part and imaginary…

Q: Which of the following is the standard form for the product of (2 + 3i)(2 3i)?

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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: -2i -3 + 8i

A: Answer is mentioned below

Q: (11 – 7i)²

A: (11-7i)2

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: 9. (Solutions must be of the form a + bi.) Without the use of a calculator, solve for x4 + 81 = 0.

A: Given equation can be simplified as

Q: (5+i)(-10 + 6i)

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Q: Solve for z, and give your answer in the form a+bi. (z-2-2i)/(-5-i) = z

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Q: Calculate (2 – 3i)". Give your answer in a + bi form

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Q: Evaluate the quotient, and write the result in the form a + bi.

A: Given, z=10i1-2i write in the form z=a+ib z=10i1-2i z=10i1-2i×1+2i1+2iz=10i+2i21-4i2z=10i-25

Q: Show that the product of a+ bi and b+ai always results in a purely imaginary number, given that a…

A: Show that the product of (a+bi) and (b+ai) is a imaginary number . Here a and b are real number.

Q: A ________ number has the form a + bi, where a ≠ 0, b = 0

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Q: Perform the indicated operations (answers in a + bi form): 3 + 4i / 3 – 4i

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Q: If a = 5i and b =-3x, then find the value of a b in fully simplified form.

A: Ques : Given that a=5i and b = -3x we have find a2b in simplified form

Q: Evaluate the expression (3 – 2i)(2 + 2i) and write the result in the form a + bi.

A: We know that, (-1)×(-1)=+1(-1)×(+1)=-1(a-b)(c+d)=ac+ad-bc-bd The given expression is (3-2i)(2+2i).

Q: Simplify and express in standard form: 1-5i/1+5i

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Q: Express the product (3 + 2i)(1 – 3i) in a + bi form.

A: Here we will use the product of two complex numbers

Q: What is the simplified complex expression of (4.33 +2.5i)??

A: Solution :  Given that (4.33 + 2.5i)2

Q: Calculate (– 3 + 2i)° . Give your answer in a + bi form.

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Q: Write the result in the form a + bi. 2-3i 8+i

A: We need to simplify the following. 2-3i8+i So,               2-3i8+iApply complex arithmetic rule:…

Q: What is the equivalent to the following expression in the form a + bi? (8+9i) – 3i[2i – (4- )]

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Q: Evaluate the expression 3+ 4i -3 – li and write the result in the form a + bi. Solution: + i.

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Q: - 4i(10 – 7i)

A: -4i(10-7i)

Q: Find all solutions of the equation and express them in the form a + bi.

A: Consider the given equation x2+12x+1=0. Simplify the given equation. 2x2+x+22=02x2+x+2=0

Q: Simplify the expression to a + bi form: (8+ 8i)(12 – 10i)

A: The objective is to simplify 8+8i12-10i

Q: Find the product of – 5 + 2i and its - conjugate. The answer is a + bi where The real number a…

A: We can solve the problem by multiplying.

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: write your answer in a + bi form. (3 + 4i)20

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Q: Simplify and write in the form a+bi. (2+ 4i) + (–6 – 4i)

A: We have to simplify

Q: Solve for z, and give your answer in the form a+bi. z=(-5+31)(-5-4i+z)

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Q: Evaluate the expression (8 – 6i) – (1 – 7i) and write the result in the form a + bi.

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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: 6. Express the roots of the equation x + 1 = 8(x- 3) in a+ bi form.

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Q: show that the product of a+bi and b+ai always results in a purely imaginary number given that a and…

A: The general form of complex number is :-       a+ bi , where a is real and b is imaginary part.…

Q: Simplify the expression to a + bi form: (7+ 3i) – (-2 – 2i)

A: Here we find value of (7+3i)-(-2-2i)

Q: Simplify the expression to a + bi form: (7 – i)(1+5i)

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