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
zlopas [31]
3 years ago
14

The roots of an equation are x = -1 ± i. The equation is: x2 + _____ + 2 = 0.

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

x² + 2x + 2 = 0

Step-by-step explanation:

Given that the roots are x = - 1 + i and x = - 1 - i

Then the factors are

(x - (- 1+ i))(x - (- 1 - i)

= (x + 1 - i)(x + 1 + i) ← expand factors

= (x + 1)² - i² → note i² = - 1

= x² + 2x + 1 + 1

= x² + 2x + 2

Equation is x² + 2x + 2 = 0

You might be interested in
Seven less than the product of 24 and Jose’s savings
Liono4ka [1.6K]

Answer:

24j -7

Step-by-step explanation:

Given

Savings \to j

Required

Express 7 less than 24 * j

First, we have:

24 * j = 24j

7 less is then expressed as:

24j -7

6 0
3 years ago
Which of the following equations has only one solution? x2 + 4x + 4 = 0 x2 + x = 0 x2 - 1 = 0
Nady [450]
<span>you can solve all quadratic equations using this method:
---
x^2 + 4x + 4 = 0
---
the above quadratic equation is in standard form, with a=1, b=4, and c=4
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 4 4
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
this quadratic has ONE real root (the x-intercept), which is:
x = -2
x = -2
---
---
---
---
x^2 + x = 0
---
the above quadratic equation is in standard form, with a=1, b=1, and c=0</span>
4 0
3 years ago
Read 2 more answers
Which two numbers on the number line has an absolute value of 3?
Darya [45]

3 and -3



hope l hlped u have a good day("



hope

8 0
3 years ago
In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the
sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

<em>Let </em>\hat p<em> = sample proportion of households who own a 4K television.</em>

The z-score probability distribution for sample proportion is given by;

           Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

     p = population proportion of households own a 4K television = 35%

     n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( \hat p > 0.50)

    P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } } ) = P(Z > 3.67) = 1 - P(Z \leq 3.67)

                                                                   = 1 - 0.99988 = 0.00012

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0
3 years ago
What is the value of 12+2(12-9)power 2 WITH CALCULATIONS
Mazyrski [523]

Answer:

30

Step-by-step explanation:

I don't know how to explain it sorry but can I still get brainliest please

6 0
2 years ago
Read 2 more answers
Other questions:
  • Name the next two numbers in the series: 128, 64, 16...
    9·1 answer
  • The diameter of a circle if five times the length of a recatngle. The length of a rectangle is three times the width of the rect
    6·1 answer
  • the equation y=1.25x represents the cost (y) to hit (x) granola bars at the snack shop. The table shows the cost of granola bars
    13·2 answers
  • Help someone please​
    15·1 answer
  • Please help asap.....​
    8·1 answer
  • Please help, due tomorrow. Will give brainlist
    13·2 answers
  • Lincoln owns a small business selling used books. He knows that in the last week 21
    5·1 answer
  • A vet measured the mass of two birds. The mass of the robin was 73.9 grams. The mass of the blue jay was
    8·1 answer
  • Given U = {1,2,3,4....} A = {1,3,5,7,9,11,13} B = {3,5,7}C = {1,2,3,4,5} D = {8,10,12}
    6·1 answer
  • Please answer this question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!