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

Q: how about complex number solutions?

A: Apologies for the inconvenience. One solution is x=-1, other 5 solutions we will get from x5=-32.

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

Q: In the complex number system, solve the equation3x5 - 10x4 + 21x3 - 42x2 + 36x - 8 = 0

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Q: Find all the zeroes of the equation. 27x – 324 = -x* O-3, -61 03, 6i 03, -3, 6i, –6i 03, -3, 6i, 0

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Q: Which statement accurately describes the number and type of solutions for this quadratic, -2x2 + 16x…

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

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Q: Solve the polynomial equation in the complex numbers. x+ - 8x³ + 22x² + 12x - 144 = 0

A: Given polynomial equationx4−8x3+22x2+12x−144=0we have to solve the polynomial equation

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: 2- j3)= (a+ jb)

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

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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: Consider the equation 6x+3=x−1. Squaring the left side and simplifying results in​ _______.…

A: 1) Squaring left side    6x+32=x-1using a+b2=a2+2ab+b2    6x2+26x3+32=x-1    36x2+36x+9=x-1…

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: Use the discriminant to determine the number of solutions to the quadratic equation 12q^2+10q+4=0…

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Q: Use the discriminant to determine whether the quadratic equation below has one real number solution,…

A: A polynomial equation whose degree is 2, is known as quadratic equation. A quadratic equation in its…

Q: Find the discriminat b2 – 4ac, and the determine whether one real-number solution, two different…

A: DiscriminantThe formula for solving the quadratic equationx=−b±b2−4ac2aThe part b2−4ac=0 is called…

Q: Use the discriminant to determine whether the quadratic equation below has one real number solution,…

A: we use the formula D=b^2-4ac. see 2nd step.

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: Use factoring by grouping to determine all solutions to the polynomial equation 4x +12x? +9x+27=0 3.…

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Q: In the complex number system, find the complex solutions of theequation x2 + 2x + 2 = 0.

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Q: Given the roots are: z 8 ± 2i, write the quadratic equation, by correctly filling in the blanks.…

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Q: Consider the equation√2x + √1 = x - 7.Squaring the left side and simplifying results in________…

A: Given equation is 2x+1=x-7 Given equation can be written as 2x+1=x-7 Squaring the left side, we get…

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: The given equation is 8x2+18x-5=0

Q: find all complex Solutions for.each equation by handa X+3 18

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Q: Consider the equation V2r + 1 = x – 7. Squaring the left side and simplifying results in Squaring…

A: For simplifying an algebraic equation the must be free from radical forms so that it can be…

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: For Exercise, use A = and B = 4 and solve for x. 61 -2. 4 ЗВ - А %3D -2X

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Q: у" - Зху' + 2у %3D0 I|

A: A linear homogeneous ordinary differential equation with constant coefficient has the form, pxy''…

Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

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

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Q: using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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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 the equation in the complex number system. x + 3x +4 = 0

A: The given equation is x2+3x+4=0. Compare the given equation with ax2+bx+c=0. Here, a=1, b=3 and c=4

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: 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: Solve each equation in the complex number system.(a) x2 = 4 (b) x2 = - 9

A: x2=4 On simplification, we get ⇒x=4⇒x=±2

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

A: Given equation

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

A: Given: 2x2+x-2=0 Solve the equation for x, using the equation. x=-b±b2-4ac2a here, a=2, b=1 and…

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

A: Given equation is, 3x3-4x2+3x+7=0 Arranging the equation in standard form and counting the change in…

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

A: