Find the quotient of 4+i15 and 2 – i, where i represents the imaginary unit. Leave your answer in the form a + bi . (Note: Quotient is the result of division.)

Q: Solve for x. If there is more than one solution, separate the solutions with a comma. 5 - 8x + 3 1 x…

A:

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: for what value Of real nunber? b will the product below be a (a-3i)(6+bi)

A: The given expression is: (2-3i)(4+bi)

Q: Perform all operations. Give your answer in a + bi form. 66 + 3i 3 — 6і -

A:

Q: If a = 3t and b -4 +3i, then find the value of a²b in fully simplified form.

A:

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

A: To write the given expression in a+bi form: 5-i3+4i. Solution: 5-i3+4i On multiplying and dividing…

Q: Find a real root of the following oquation corroct to 4D. x=e

A:

Q: Evaluate the sum or difference, and write the result in the form a + bi. (-4 + i) - (2 - 5i)

A: To evaluate the difference

Q: Multiply. Write the answer in the form a + bi. (-6 + 5i)(6 + 5i)

A:

Q: later ) Algebraically determine the roots, in simplest a + bi form, to the equation below. x2 - 2x +…

A: We have to solve roots

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: the Syst 23e -Sy=2 Solve stem =11 %3D 30C+ し

A: To solve the system of equations. 2x-5y=11 3x+4y=5 Solution: We have equations: 2x-5y=11…

Q: Perform the division and write the answer in the form of a+bi Q.1 1/ (1+12i) Q.2 (4-3i) / (4+3i)

A:

Q: Find all the real roots of p(x) = 3x3 – 14x? – 125x + 532 19 given that one of the roots is = 3 19 X…

A: We can solve the problem by doing the multiplication at first.

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

A: The given expression: 2-3i1-2i

Q: -2i -3 + 8i

A: Answer is mentioned below

Q: Solve the equation. If there is more than one solution, separate them with a comma. 16−|x|=8…

A:

Q: Evaluate the difference, and write the result in the form a + bi. (-6 + i) – (5 – 9i) |

A:

Q: (-7– 9i) + (10 + 10¿)

A: To simplify the given two complex number, add real part of first one with real part of second  and…

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

A: The given expression is 11+i-11-i

Q: The complex conjugate of 8 + 9i is ^-8+9i

A:

Q: Use the discriminant to determine all values of k which would result in the the equation 3x + kx +…

A:

Q: (-11 – 6i) + (5 – 8i)

A: From the given problem:   -11-6i+5-8i   From the concept of the grouping of real and imaginary part:…

Q: Evaluate the sum or difference, and write the result in the form a + bi. (-12 + 8i) - (7 + 4i)

A: Consider the difference -12+8i-7+4i To simplify it further remove the parentheses and distribute the…

Q: Divide. answer in the form a+bi​.   2−i over 10+5i.

A:

Q: Given that -T< x < T, find all the solutions to the equation 2tan²x – 2 = 0. Separate your answers…

A: We use ASTC rule for trigonometric ratios.

Q: (3-i)² 2.

A:

Q: Given g = 67 + 7 and ủ = 8ỉ – 73, find ||ỹ + ū|| and ||ģ|| + ||ū||. Give EXACT answers. You do NOT…

A:

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: Evaluate the radical expression, and express the result in the form a + bi.

A: Given radical expression is: 3--51+-1

Q: z₁ and z₂ are the roots of 32² + 3z + b = 0. If O(0), (z₁), (Z2, form an equilateral triangle, then…

A:

Q: ind the value of 2 (x+5) = 3(2-5x %3D

A: Given: 2(x+5)=3(2-5x)

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

A: a+ib is known as complex number. Complex number is mixture of real andimaginary number as in a+ib a…

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

A: Consider the provided expression, 4+6i3i Evaluate the quotient and write the result in the form a +…

Q: Solve. If there is more than one solution, separate them with a comma. 3 — 3(ба + 9| — 0

A: Given,          3-36x+9=0

Q: Simplify the expression to a + bi form: (-9 – 8i) – (–4+ 5i)

A: We will express this expression in the standard form of complex number a+ ib. We will add real and…

Q: Find the imaginary part of 23t where z = x+ iy (the denominator is the conjugate

A: The conjugate of z will be x-iy

Q: 2+3i az 2p bz? +c 2 b7,

A:

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

A: Given that the complex number Let z = 11+i To write the result in the form a + bi.

Q: Find the third side in simplest radical form: V51 ac 3.

A: Here we have to find the third side of the given right angle triangle in simplest radical form.

Q: Given b = 5i – 5j and j - 6i + j, find |5 + ƒ | and |b| + |f1. Give EXACT answers. You do NOT have…

A:

Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

A:

Q: Divide and simplify. Write your answer in a+bi form. 2-3i 1. 9+i

A: (a-b)(a+b) = a2 - b2 and i2 = -1  after rationalization we will get  in the form of a + ib

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

A:

Q: Given that -1 +5i is a complex root of the cubic polynomial x³+ 22x - 52, determine the other two…

A: Solution is here

Q: Multiply into a+bi form: 2-3i)*e^((2(pi)(i))/3)

A:

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

A:

Q: Use the given information to find the remaining roots. 5+2i is a root of x-12x +51lx2-78x+58=0 The…

A: From the polynomial of 4th degree

Q: Evaluate the radical expression, and express the result in the form a + bi.

A: -3-12

Q: c) By using De Moivre's theorem, find (3/5 – 3i) in the standard form.

A: To find complex no. in standard form using De Moivre's theorem .