In the following complex equation (28 - j3) * (A + j4) = (3 + j71) * (B + j3) Find the value of the unknown B

Q: Which of the following will simplify to the correct solutions for the equation 3z2 + z- 4=0?

A: correct answer is a  x=−b±√b2−4ac/2a where b=1 a= 3 c=-4

Q: in the complex numbe 3 + 4i, the absolute value is:

A: Given that complex numbe 3 to find the absolute value

Q: Find all complex-number solutions by completing the square 2r2-3r=-7

A:

Q: Does the equation 4x2 + 20x + 25 = 0 have (a) two nonreal complex solutions, (b) two equal real…

A: 4x2+20x+25=0Formula: Discriminant, D=b2-4ac

Q: What are the roots of the equation 4x² + 10 = 11x in simplest a + bi form? %3D

A: Given,          4x2+10=11x

Q: Solve x2 + 2x + 2 = 0 in the complex number system.

A: Explanation: Given that,  x2+2x+2=0   Concept Used: Quadratic formula- x=-b±b2-4ac2a

Q: What are the complex solutions for z2- 2 +5 = 0? 士

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Q: 2- j3)= (a+ jb)

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Q: What are the roots of the equation x2 - 16x + 65 = 0 in simplest a + bi form?

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Q: Select all the complex solutions for 2x² + 3x+ 9 = 0.

A: The equation is 2x2+3x+9=0. The quadratic formula for ax2+bx+c=0 is x=-b±b2-4ac2a. Here, a=2, b=3,…

Q: 4. Form the equation whose roots are the multiplicative inverses of the roots of 3x2 + 10x – 8 = 0.

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Q: Solve. (8+y)(2y- 5) = 0 (If there is more than one solution, separate them with commas.)

A: Let a and b be two real numbers. According to the zero product property if then or . Similarly,…

Q: Solve the equation x2 - 4x + 8 = 0 in the complex number system.

A: Given: x2-4x+8=0

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: We have  2x2-6x+1=0   Compare with standard equation ax2+bx+c=0. Here, a=2, b=-6 and c=1…

Q: Find the roots of the equation z² - 4z + 5= 0

A: Solution

Q: Solve the equation 2x^4-15x^3+24x^2+81x-260=0 giving all solutions in the complex number system

A: The given equation is,

Q: What are the roots of the equation 2x² + 11x = -20 in simplest a + bi form?

A: In the question it is asked to calculate the roots of 2x2+11x=-20 and express the complex roots in…

Q: Does the equation 4x2 - 3x = -5 have (a) two nonreal complex solutions, (b) two equal real…

A: 4x2-3x=-5

Q: What are the roots of the equation x2 + 14x + 50 = 0 in simplest a + bi form?

A:

Q: Without solving, determine the character of the solution ofthe quadratic equation 4x2 - 28x + 49 = 0…

A: For a quadratic equation ax2+bx+c=0 the solution is given by the quadratic formula -b±b2-4ac2a. The…

Q: Find coefficients a, c where the quadratic equation with a complex solution. 2² + 8x + = 0

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Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given equation is: 4x2+20x+25=0We know determinant D of a quadratic equation of the form ax2+bx+c=0…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given: 3x2 +4x = 2 To solve: The given quadratic equation.

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: 9x2-6x+1=0

Q: What are the roots of the equation x² + 14x + 50 = 0 in simplest a + bi form? %3D

A:

Q: Solve for b. 5b + 8 – 2b = 7b. %3D -

A: To solve b.  5b +8 - 2b = 7b All the variables i.e b are arrange in one side.

Q: Solve the equation z – 8 = 0, giving the results as complex numbers.

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Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: To solve the equation: x2+4x-21=0 Solution: We know, discriminant 'D' of a quadratic equation of the…

Q: Solve for X in the equation, where -1 5 2 0 1 -5 A = and B = -4 0 1 3 0 3 X = 3A - 2B %3D X =

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Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Known fact: The quadratic equation ax2+bx+c=0 has two real different solutions if b2-4ac>0 . It…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given : The quadratic equation  x2 - 3x - 54 = 0 we have to tell using the discriminant to determine…

Q: In the complex number system, x2 + y2 (the sum of two squares) can be factored as (x + yi)(x -…

A: To prove: x2+y2=x+yix-yi We know that a+ba-b=a2-b2 And we know that i2=-1 Solving the right hand…

Q: What are the complex solutions to the following equation? 3x2 – 2x + 3 = 0 -

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Q: What are the roots of the equation x2 – 10x + 26 = 0 in simplest a + bi form?

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Q: Find all complex solutions using an appropriate method. 6. x* – 7x² = 44

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Q: Express the ff. equations in terms of complex conjugates (a) (x – 3)² + y² = 9 (b) 2x – 3y = 5 %3D

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Q: (2 – 2v2i)-2

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Q: Compute the discriminant. Then determine the number and type of solutions for the given equation.…

A: The standard discriminant form for the quadratic equation ax2 + bx + c = 0 is Discriminant: D = b2 –…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: First checking discriminant of the equation x2-7x+13=0⇒b2-4ac=49-4(1)(13)=49-52=-3<0Since,…

Q: for the roots of each equation. 55. 2r-5x² + 6 = 0 56. 2r3 - x2 - 5x + 3 = 57. 4x + 8x2 - 11x 15 = 0

A: We have to used rational zeroes throem

Q: Find all complex solutions x4-3x2=28

A: Given equation

Q: What is the first step in finding the three cube roots of -1?

A: We have to find the first step in finding the cube roots of -1.

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Given equation              x5+4x4+3x3-4x+2=0

Q: For the polynomial equation 9x6 + x3 - 2x - 6 = 0 , what is the number of (complex) solutions that…

A: Number of solution is either 2 or 4.

Q: Find the complex solutions x5÷2+8x3÷2+25x1÷2=0

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Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

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Q: What are the complex solutions for r2- 6x +34? 土

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Q: What are the roots of the equation 4x² = 5x – 3 in simplest a + bi form?

A: Given : 4x2 = 5x-3