Show that the solution of the equation  4x2 + 24x + 37 = 0 are complex conjugates of each other.

Q: What are the roots of the equation x2 + 2x + 37 = 0 in simplest a + bi form?

A:

Q: Find all complex solutions of 3x+x+4%3D0. (If there is more than one solution, separate them with…

A: We have to find complex solutions of given equation.

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

A:

Q: Rewrite the quadric equation in standard form. 4x2 +9z2- 8x 36y-36z + 32 0

A: Given,          -4x2+9z2-8x-36y-36z+32=0

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

A: Given: to determine the number of possible positive, negative, and nonreal complex solutions of the…

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

A: Given,          4x2+10=11x

Q: 2. Find all complex solutions of 6x-5x+4 0. (If there is more than one solution, separate them with…

A:

Q: Express the product of 9i5(2i³ - 3i16) in a + bi form.

A: 9i15(2i3-3i16) =(9i15)(2i3)-(9i15)(3i16) =18i15+3 -27i(15+16) =18i18 - 27i31 Now i=√(-1) i18=-1…

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

A:

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: Find all real and complex solutions of the equation 2x^2 +4x + 3 = 0.

A: Given: The equation, 2x2+4x+3=0.

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: 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: 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: Solve for x. 646x+3 2 x+35x-2 %3D If there is more than one solution, separate them with commas. No…

A: Solve for x  646x+3 = 2x2+35x-2

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: Find the complex solutions of the equation 2x + 2x + 3 = 0 using th quadratic formula. -1 tiV5 -1…

A:

Q: What are the roots of the equation 16x - 64x + 65 = 0 in simplest a + bi form? %3D

A:

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: Find all complex solutions of 6x2 – 5x+4 = 0. (If there is more than one solution, separate them…

A:

Q: Completely factor over the complex numbers (2x-5) (x+1) = 2

A:

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

A: Given:  4x2 - 28x + 49 = 0

Q: What are the roots of the equation 4x² = 8x – 9 in simplest a + bi form? -

A:

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: What are the roots of the equation 25x +90x + 82= 0 in simplest a + bi form?

A: If equation is ax2 + b x + c = 0 then solution is  x = -b±b2-4ac2a

Q: That are the roots of the equation 4x2 8x – 7 in simplest a + bi form? %3D -

A: Explanation and solutions is given below....

Q: If z1 =3+4i and z2 =− 1+2i, find z1−3z2 and z1z2.(problem of complex number)

A:

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 -

A:

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

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Consider the given quadratic equation. 3x2-8x+2=0 The objective of the question is to find the…

Q: What are the roots of the equation x2 – 2x + 17 = 0 in simplest a + bi form?

A: We know that roots of the quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a Now, the given…

Q: Find all complex solutions of x-5x+7=D0. (If there is more than one solution, separate them with…

A:

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: Conversion of the given equation into the standard equation and formula of discriminant helps to…

Q: What are the roots of the equation x2 + 18x + 97 = 0 in simplest a + bi form?

A:

Q: Find all complex solutions of x- 6x+2=0. (If there is more than one solution, separate them with…

A: Given: x2-6x+2=0 Quadratic formula: The solution for the quadratic equation ax2+bx+c=0 is…

Q: If the discriminant of a quadratic equation is greater than zero, the roots of the equation are:…

A: The polynomial equation whose highest degree is two is called a quadratic equation. The discriminant…

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

A: