1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Feliz [49]
3 years ago
8

Write a quadratic equation whose factors are 4+3i and 4-3i.

Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

y=x^2-8x+25

Step-by-step explanation:

To answer this question, we will work backwards.

We know that a factor is 4+3i. This means that:

(x-(4+3i))=0

Hence, we will eliminate the imaginary and convert this into standard form.

First, distribute the negative:

x-4-3i=0

Add 3i to both sides:

x-4=3i

Square both sides:

(x-4)^2=(3i)^2

Expand:

x^2-8x+16=9(-1)=-9

Add 9 to both sides:

x^2-8x+25=0

Hence, our quadratic equation is:

y=x^2-8x+25

Notes:

We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.

You might be interested in
A consulting firm submitted a bid for a large research project. The firm’s management
amid [387]

Answer:

(a) 0.50

(b) 0.75

(c) 0.6522

Step-by-step explanation:

We are given that the firm’s management  initially had a 50–50 chance of getting the project.

Let Probability of getting a project or bid being successful, P(S) = 0.50

Probability of not getting a project or bid being unsuccessful, P(US) = 1 - 0.50 = 0.50

Also, Past  experience indicates that for 75% of the successful bids and 40% of the unsuccessful bids  the agency requested additional information which means;

Let event R = agency requested additional information

So, Probability that the agency requested additional information given the bid was successful, P(R/S) = 0.75

Probability that the agency requested additional information given the bid was unsuccessful, P(R/US) = 0.40

(a) Prior probability of the bid being successful = Probability of getting a project or bid being successful = \frac{50}{100} = 0.50

(b) The conditional probability of a request for additional information given that  the bid will ultimately be successful = P(R/S) = 0.75

(c) The posterior probability that the bid will be successful given a request for  additional information is given by P(S/R) ;

Using Bayes' Theorem for this we get;

   P(S/R) = \frac{P(S) * P(R/S)}{P(S)*P(R/S) + P(US) * P(R/US)} = \frac{0.50 * 0.75}{0.50*0.75 + 0.50*0.40} = 0.6522 .

6 0
3 years ago
What are the values of x in the equation 4x2 4x – 3 = 0? x = –1.5, 0.5 x = –0.5, –1.5 x = x =?
Stolb23 [73]

Answer:

The values of x are

x=-1.5\ , 0.5

Step-by-step explanation:

we have

4x^{2}+4x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

4x^{2}+4x=3

Factor the leading coefficient

4(x^{2}+x)=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

4(x^{2}+x+.25)=3+1

4(x^{2}+x+.25)=4

(x^{2}+x+.25)=1

Rewrite as perfect squares

(x+0.5)^{2}=1

Square root both sides

x+0.5=(+/-)1

x=-0.5(+/-)1

x=-0.5+1=0.5

x=-0.5-1=-1.5

3 0
4 years ago
Read 2 more answers
What is the answer 25/34 X 4/5 =
Marizza181 [45]

the answer is

0.58823529411

8 0
3 years ago
Read 2 more answers
Simplify (n-1) + n<br><br> Easy.
konstantin123 [22]

Answer:

2n - 1

Step-by-step explanation:

you add the 2 <em>ns to get 2n then you  add the 1 to the equation to make </em>

<em> </em><em>2n - 1</em>

7 0
3 years ago
What is the volume of a rectangular prism 11 inches long, 6 inches wide and 3 inches high
Oksana_A [137]

Answer: 198 sq. in.

Step-by-step explanation: 11x6x3=198

6 0
3 years ago
Other questions:
  • Find the area of the parallelogram
    6·1 answer
  • find the equation of (1,2) and its X-intercepts equals its Y-intercepts in magnitude but opposite in sign
    5·1 answer
  • Mr.Salazar assigns the same Number of homework Question each
    11·1 answer
  • Given a point (4,5) and a slope m= 5/6 write the linear equation ij point slope form
    8·1 answer
  • In a unit circle, theta=180 degrees. What is the terminal point?
    5·1 answer
  • Solve for x HURRY PLEASE
    7·2 answers
  • what is an equation in slope-intercept form for the line that passes through (2, -3) and is parallel to the line y=4x−5.
    8·1 answer
  • Bir kutudaki kalemlerin sayısı, mavi renkli kalemlerin sayısından 48 fazladır. kutudaki kalemlerin sayısı, mavi kalem sayısının
    9·1 answer
  • Which table of values satisfies the linear equation Y =
    13·1 answer
  • Solve the following compound inequality:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!