Find the quadratic equation whose roots are 3+- i / 2

Answers

Answer 1

Answer: (x - root#1) times (x - root#2) = 0 . . . . . This is how to BUILD the quadratic equation.

All the rest is just multiplying out that first line:

(x- (3+i/2)) times (x - (3-i/2)) = 0

x² -x(3-i/2) -x(3+i/2) + (3+i/2)(3-i/2) = 0

x² -3x + ix/2 -3x - ix/2 + 9 -3i/2 + 3i/2 = 0

x² -6x +9 = 0 There it is. That's your quadratic equation.

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Rewrite x-2y=3 in slope intercept form
I need help on this question
Which of the following choices is the common difference between the terms of this arithmetic sequence4x + 7y, 8x+ 2y ,12x -3y,16x-8y,20x-13y, ... a. 5x+4y b. 4x-5y c. -5x-4y d. 5x -4y e. 4x +5y
The value x = 3 is a solution to each of the following except which?(1) 4x-1=2x +5(3) 5x +4<19(2) 2x-8(4) (x+1)(x-3)=0
Help please i’ve been stuck for over an hour

I don't understand at all

Answers

The answer is b, as angles ABC is the first half of the angle.

ItsB as it's asking for angle 2 and you can either go from DBC or CBD. But as DBC is only there, so it's B.

Hope this helps!

I need help ion understand this

Answers

Answer:

-1 7/8

Step-by-step explanation:

Georgianna wants to use the linear model associated with the data in the table to make a prediction.Which range of time values describes the entire interval over which she would be interpolating?

A) 0 to 5 minutes
B) 0 to 18 minutes
C) 0 to 30 minutes
D) 18 to 30 minutes

Answers

the data in the table in the attached figure

we know that

Linear model regression is used to predict the relationship between 2 variables by fitting the observed data in a linear equation.

The range of time values that describes the interpolation that Georgianna would be making is from

$0$ $to$ $30$ $minutes$

Because

the minimum value of the time of the data in the table is equal to $0$ minutes

the maximum value of the time of the data in the table is equal to $30$ minutes

therefore

the answer is the option

$C) 0 to 30 minutes$

Georgianna wants to use the linear model associated with the data in the table to make a prediction. The range of time values that describes the entire interval over which she would be interpolating is 18 to 30 minutes. The answer is letter D.

Divide. (4x^3+2x+1)÷(x+1)4x^2−4x+6+5/x+1

4x^2−4x+6−5/x+1

4x^2+4x−6−5/x+1

4x^2+4x+6−5/x+1

Answers

$(4x^3+2x+1)/(x+1)=4x^2-4x+6-(5)/(x+1)$

A data set is normally disturbed. As data points are removed from both ends of the range, what happens to the display of data?

Answers

Answer: The display becomes skewed left.

Step-by-step explanation:

Solve the equation by completing the square. If necessary, round to the nearest hundredth. x² – 18x = 19
1; 19
–1; 19
3; 6
–3; 1

Answers

Answer:

Option B. x = -1, 19

Step-by-step explanation:

The given equation is x² - 18x = 19

We can get the value of x by factorizing the expression or by quadratic formula.

We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.

x² - 18x - 19 = 0

x² - 19x + x - 19 = 0

x(x - 19) + 1(x - 19) = 0

(x - 19)(x + 1) = 0

x = 19, -1 will be the solutions.

So there is no need to apply quadratic formula.

Option B. x = -1, 19 is the answer.

ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1

answer is -1; 19

2nd choice is answer

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