! + 3 − 5 = 0; by completing the square

Answers

Answer 1

Answer:

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

[tex]x^2+3x-5=0[/tex]

Keep x terms on the left and move  the constant to the right side  by adding it on both sides.

[tex]x^2+3x=5[/tex]

Take half of the x term and square it.

[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]

then add the result to both sides

[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.


Related Questions

HELP WILL GIFT 30 EXTRA POINTS IF SOLVE ANSWER ALL QUESTIONS PLEASE!!!

Answers

Answer:

Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.

Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.

What is the perimeter of this shape? Use numbers only.

Answers

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

Answer:

10+5+4+6+5 = 30m

Step-by-step explanation:

14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.

Answers

Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

A picture frame measures 5 inches wide and 7 inches long. What is the perimeter of the frame?

Answers

The perimeter is 24.
Remember finding perimeter is always adding, so add 5 two times for the sides do the shape, do the same for 7, then you get your answer. Hope this helps!
the answer would be 24, 5+5+7+7=24

what are the answers for these two questions? please also tell me HOW you got that answer

Answers

9. Multiply the money he has by the portion he spent:

75 x 3/5 = (75 x3)/5 = 225/5 = 45

He spent $45

10. First rewrite 4 1/8 as an improper fraction

33/8

Now multiply by 1/3:

33/8 x 1/3 = (33 x1) /(8 x 3) = 33/24 = 1 3/8

She spent 1 3/8 hours studying math.

Guys help me with this quick pls​

Answers

Answer:

[tex]117 = 66 + \beta \\ \beta = 51[/tex]

Can someone help me with question 1 and 2 please​

Answers

question 1)
there’s 180 degrees in a triangle
70 + 70 = 140
180 - 140= 40
A= 40
question 2)
there’s only one line of symmetry, down the middle

I need some help!! I will try to give brainliest!!!

Answers

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

help ..........................................​

Answers

Answer:

c. 45d+.25m

Step-by-step explanation:

Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?

Answers

Answer:

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Step-by-step explanation:

Margin of error

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Standard deviation of 1.3

This means that [tex]\sigma = 1.3[/tex]

She surveys 124 families

This means that [tex]n = 124[/tex]

Margin of error and meaning:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]

[tex]M = 0.3012[/tex]

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

find m 135°
125°
55°
100°

Answers

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

Step-by-step explanation:

here's your solution

==> sum of corresponding angles of parallelogram = 180°

==> angle J + angle k = 180°

==> 55° + k = 180°

==> k = 180° - 55°

==> k = 125°

[tex]hope \: it \: helps[/tex]

Which of the functions below could have created this graph?​

Answers

i think the answer is a

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

Answers

Answer:

its A

Step-by-step explanation:

its A ️ ‍♀️ ️ ‍♂️ ️

180-2(65). The base are both 65 and a triangle adds up to 180.

Just wanted to make sure I got the right answer

Answers

Answer:

D

Step-by-step explanation:


find the number of terms in the series for the series given below.

Answers

C . bc its the right answer :)

Two trains leave New York at the same time. One travels south 50 miles per hour and the other traveled east at 40 miles per hour. How far apart are they at the end of THREE HOURS?

Answers

Answer:

192 miles

Step-by-step explanation:

This is a right triangle problem

One leg of the triangle is

50 * 3 = 150

The other leg is

40 * 3 = 120

the distance is the hypotenuse

c^2 = 150^2 + 120^2

c^2 = 22500 + 14400

c^2 = 36900

Take the square root of both sides

c = 192.093727123

c ≈ 192 miles

Answer:

30 miles apart

Step-by-step explanation:

Im not sure if this is the corect answer to this but this is what i think what i did was get 50 x 3 and 40 x 3 since they starded at the same times and finished after 3 hours so multiply your numbers by 3 so...

50 x 3=150

40 x 3=120

150-120=30 miles apart

x > -3 For each statement list three numbers that would make a solution to the inequality true.

Answers

Answer:

x = -2

x = -1

x = 0

Step-by-step explanation:

Find three numbers to the left of -3 on the number line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Identify the distance between the points (9,7,3) and (5,3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Answers

Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are (9,7,3) and (5,3,2), hence:

[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]

The distance between the two points is of 5.7 units.

What is the midpoint?

The midpoint is the mean of the coordinates, hence:

xM = (9 + 5)/2 = 7.yM = (7 + 3)/2 = 5.zM = (3 + 2)/2 = 2.5.

The midpoint is (7, 5, 2.5).

More can be learned about the distance between two points at https://brainly.com/question/18345417

giving out brainliest answer please help me out asap !! it’s due today

Answers

Answer:

180=3x+7x+10

simplify

180=10x+10

subtract 10 from both sides

170=10x

divide both sides by 10

x=17

are these two triangles congruent? if so state, how you know.

Answers

Answer:

by SSS axiom

hope it helps.

Answer:

Step-by-step explanation:

Yes

the two sides that are marked make 2/3 of the sides needed for SSS

The line shared by both triangles make the third side.

Answer: SSS

The new number 200 is 400 less than the original number what is the approximate per percent change

Answers

Answer:

200+400=600

400/600=2/3=66.6%

Helppppppppppp!!!!! Please

Answers

Answer:

The answer is C.

Step-by-step explanation:

angle 5 and 4 makes a line which is 180 and since angle 5 equals 57 , 180-57=123.

a)Solve for x:
y = 130 − 4x

b) What is the value of x when y = 120

Answers

Answer:

[tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

y = 130 - 4x

======================

120 = 130 - 4x

-10 = -4x

x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]

The area of a triangle is 30 square feet. If
the base is 4 feet, then what is the height?

Answers

Height=15

Explanation:
Area of a triangle= 1/2base x height
Plug in information
30=1/2 x 4 x h
Solve 1/2 x 4 = 2
30= 2 x h
Divide both side by two
30/2=2 x h/2
Solve:
15= h

Find the solution of the following equation whose argument is strictly between 90° and 180°.

Answers

Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees

Can anyone give me some advices for my sis cause she is going to high school soon and I'm worried- even tho she is older then me, she is Autism and ofc I'm worried-​

Answers

Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^

Step-by-step explanation:

Advice;

Talk to her, let her know of the things she could be facing, yes we can give her as much advice as needed but it won't stop her from facing other rude teenagers.If she has a temper you guys should come up w coping mechanisms to use during school when she'll be alone. It's good practice to growing up.Ask for a tour around the school, it'll help her be more aware of her surroundings when she starts to attend.If she's nervous about entering a whole different nd new place it's fine, assure her it's going to be okay it'll just be a little adjustment.

Advice for you; ( I know it wasn't asked of )

Calm down. Don't stress, I mean I know you're gonna, she's your sister but worrying about her is just gonna be a whole other problem you don't need. She's fine, she'll be fine, you don't want her to see you worry nd make her feel the same way, right?

Alright, hope this was helpful! Need a little more insight? Feel free to ask.

Need help pls help will gift extra points if help plz explain how you soved it

Answers

Answer:

both 125° and the 5x+30 are congruent to eachother. therefore you can go

5x+30=125

subtract 30 from both sides.

5x=95

then divide both sides by 5

x=19

Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3

Answers

Its really simple the next number should be 1

Each triangular face of the following solid figure is congruent. If the area of each face is 12 square inches, what is the
surface area of the entire figure?

Answers

Answer:

the surface area is 48in^2 because there are 4 faces and you have to find the surface are in which you must multiply 12 by 4.

Step-by-step explanation:

Which value (s) of x are solution(s) of the equation below?
A. x = 2, 4
B. x = -1, 4
C. x = 2
D. x = -1

Answers

Answer:g

Step-by-step explanation:

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