Use the square root property to solve:(x+9)^2+27=-5.  Write the complex numbers in the form  a+bi form

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: 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: Use the discriminant to determine the nature of the solutions of the equation.

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by the expression D=b2-4ac. If the…

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

A:

Q: What number is added to both sides of the equation x2-8x+3=0 to solve it by completing the square?

A: The given equation is

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: Solve the quadratic equation only by completing the square. x² + 10x – 9 = 0

A: Adding {(coefficient of x)/2}2 on both sides.

Q: Write the guadratic equation whose rootsS are –6 and 2, and whose leading coefficient Is (Use the…

A: Solution: Given roots -6 and 2, and the leading coefficient is 1

Q: Solve. 3x3 + x2 + 27x +9 =0 Write imaginary solutions in terms of i. If there are multiple…

A:

Q: Solve quadratic equation by completing the square. x2 + 4x = 12

A:

Q: Solve by completing the square: 1/3 - 4/3x = 7/x

A: Multiply both sides by 3x and simplify.

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 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: 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: Solve the equation by using the square root property. 125 - = 0 %3D

A:

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

A:

Q: Solve by completing the square: x2+2x+10=0

A: Consider the given equation x2+2x+10 = 0

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: Write a quadratic equation in standard form with - 4 and 3/2 as its roots.

A: Given that a quadratic equation whose roots are -4 and 32

Q: Use the quadratic formula to solve the equation  25x2 + 70x+85=0 Enter multiple answers as a list…

A:

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

A:

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

A:

Q: Solve the quadratic equation by completing the square. x-14x+47 0 First, choose the appropriate form…

A:

Q: se the quadratic formula 7x*-3x%3D3

A: Given quadratic equation is, 7x2-3x=3.

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

A:

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

A:

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

A:

Q: Determine an equation equivalent to 2x-8x + 3 = 0 obtained by completing the square.

A: Given equation  2x2-8x+3=0 Add 8 to the given equation on both sides 2x2-8x+8+3=8

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 0 = x² – 10x + 30 by completing the square.

A:

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

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

Q: Solve the quadratic equation by completing the square. x2 – 4x – 16 = 0 -

A: Quadratic equation given x2 - 4x - 16 = 0

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: 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: Use square root property to find all real or imaginary solutions  2x^2+16=0

A: According to the given information it is required to calculate the real and imaginary solutions of…

Q: Use the discriminat to determine whether the quadratic equation has two equal real number solutions,…

A:

Q: Use the quadratic formula to solve the equation 6x + 18 = 0. - Enter multiple answers as a list…

A:

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

A: The discriminant, D, of the quadratic equation: ax2+bx+c=0 is calculated using the formula:…

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

A:

Q: What term should be added to both sides of the equation in order to solve by completing the square?

A:

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

A:

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

A: Given : 4x2 = 5x-3