Quadratic formula to find the values of x that are solutions to the equation 2x2 + 3x + 1 = 0

Answers

Answer 1

Answer:

x = -0.5 or -1

Step-by-step explanation:

Given the quadratic equation;

2x² + 3x + 1 = 0

The standard form of a quadratic equation is ax² + bx + c = 0

Therefore, a = 2, b = 3 and c = 1

Quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex]x = \frac {-3 \; \pm \sqrt {3^{2} - 4*2*1}}{2*2}[/tex]

[tex]x = \frac {-3 \pm \sqrt {9 - 8}}{4}[/tex]

[tex]x = \frac {-3 \pm \sqrt {1}}{4}[/tex]

Simplifying further, we have;

[tex]x = \frac {-3 \pm 1}{4}[/tex]

[tex]x_{1} = \frac {-3 + 1}{4}[/tex]

[tex]x_{1} = \frac {-2}{4}[/tex]

[tex]x_{1} = -0.5[/tex]

To find the value of x2;

[tex]x_{2} = \frac {-3 - 1}{4} \\x_{2} = \frac {-4}{4} \\x_{2} = -1[/tex]

Therefore, the value of x = -0.5 or -1


Related Questions

Select the correct solution for 9x = 81.
O A. x = 72
O B. x =)
O c. x = 9
O D. x = 90

Answers

Answer:

c

Step-by-step explanation:

9x=81

9x/9=81/9

x=9

Option C is correct, the solution of 9x = 81 is x=9.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 9x=81

Nine times of x equal to eighty one.

We have to solve for x

Divide both sides by 9

x=81/9

Divide numerator and denominator by 9

x=9

Hence, Option C is correct, the solution of 9x = 81 is x=9.

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DC= 10 what is the value of AD

Answers

Answer:

where is required question. comment me.

6,2,2/3,..
Find the 8th term

Answers

Answer:

2/729

Step-by-step explanation:

This is a geometric progression.

[60 points. Help me.]
Monica jogged to her gym and is on her way home. She has walked 2/13 of a mile and has jogged 2/13 of a mile. If the total distance from the gym to Monica's home is 8/13 of a mile, how far from home is Monica now?
A.
5/13 of a mile
B.
4/13 of a mile
C.
9/13 of a mile
D.
7/13 of a mile

Answers

Step-by-step explanation:

Total distance = 8/13 mile

Distance left = 8/13 - 2/13 - 2/13 = 4/13 mile

Hence Monica is 4/13 of a mile from home now. (B)

Write the linear equations in slope-intercept form with a slope of 5 and point (2, -20)

Answers

Answer:

We conclude that the linear equation in slope-intercept form with a slope of 5 and point (2, -20) is:

y = 5x - 30

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given

The slope m = 5

The point (2, -20)

now substitute (x, y) = (2, -20) and m = 5 in the slope-intercept form of the line equation

y = mx+b

-20 = 5(2) + b

10 + b = -20

subtracting 10 from both sides

10 + b - 10 = -20 - 10

b = -30

Thus, the y-intercept b = -30

so substituting b = -30 and m = 5 in the slope-intercept form of the line equation

y = mx+b

y = 5x + (-30)

y = 5x - 30

Therefore, the linear equation in slope-intercept form with a slope of 5 and point (2, -20) is:

y = 5x - 30

Can the sum of 2 positive mixed numbers be less than​ 3? Explain.

Answers

Answer:

No. A mixed number is usually positive and greater than one, so two numbers that would be greater than one could not add up to anything less than three.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1[tex]\frac{1}{5}[/tex]+ 1[tex]\frac{1}{5}[/tex] = 2[tex]\frac{2}{5}[/tex]

can someone help please asap

Answers

Answer:

1   51     2 18    3  123       4    39

Step-by-step explanation:

1)
72 + 57 = 129
180 - 129 = 51°
2)
90-72= 18°
3)
180-57= 123°
4)
18 + 123 = 141
180 - 141= 39°

angle 1= 51°
angle 2= 18°
angle 3= 123°
angle 4= 39°

If a girl on a bike travelled 2 miles in 15 minutes, how
far will she travel in 1 hour? Show your work!

Answers

Answer:

8 miles in an hour

Step-by-step explanation:

well if she went 2 evey 15 minutes, there are 60 minutes in an hour, so 15 times 4 is sixty. 2 times four is 8. she ran 8 miles in an hour.

Answer:

8 miles

Step-by-step explanation:

15 x 4 = 60 = 1 hr

2x4 = 8

You basically times how far the girl tracked in 15 minutes by 4

If 6^ = 1/126 find the value of x

Please ask help with b

Answers

9514 1404 393

Answer:

  a) x = -3

  b) 1/250

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

a) It is helpful to know that 216 = 6^3.* Then you would realize that ...

  [tex]6^x=\dfrac{1}{216}=\dfrac{1}{6^3}=6^{-3}\\\\x=-3[/tex]

If you don't know that, then you can solve the equation using logarithms. Taking the log of both sides, you have ...

  x·log(6) = log(1/216)

  x = log(1/216)/log(6) = -3

__

b)

  [tex]5^{-3}\times 2^{-1}=\dfrac{1}{5^3}\times\dfrac{1}{2^1}=\dfrac{1}{125}\times\dfrac{1}{2}=\boxed{\dfrac{1}{250}}[/tex]

_____

* This would be on your list of cubes of small integers that you might want to memorize, along with squares of numbers less than 20.

Please help! Will Mark brainliest!

Answers

Answer:

4.5 inches

Step-by-step explanation:

Sorry if its wrong. I tried.

What is the measure of the angle?

Answers

Answer:

umm I dont see where is the angle. but for your answer, it can be obtuse, acute and right. plz show the picture to help you more

Step-by-step explanation:

Using only numbers in the following list,
46
53
89
21
48
47
32
write down
a)
two numbers that add up to 80
1
b)
two numbers which differ by 43
c)
a multiple of 6​

Answers

Answer:

A) 48,32

B) 89, 46

C) 48

Step-by-step explanation:

Which equations for the measures of the unknown
angles x and y are correct? Check all that apply.
A- x= cos-1[a/c]
B- x= sin-1[c/b]
C- x= tan-1[c/a]
D- x= sin-1[a/c]
E- x= cos-1[c/b]

Answers

Answer: B, C, and E

Step-by-step explanation:

I just did the assignment

What Place Value position is the 5 in the number 0.059

Answers

Answer:

hundredths I think

Step-by-step explanation:

I did this a few years ago so forgive me if I'm wrong

Answer:

hundredths i think if i'm not mistaking

Step-by-step explanation:

What is (10/8)X2+8X9X3?

Answers

Answer:

437/2

Step-by-step explanation:

Answer:

Simplify the expression.

Exact Form:

437 /2

Decimal Form:

218.5

Mixed Number Form:

218  and 1 /2

Step-by-step explanation:

Have a nice day! I hope this helps!

Please help!!! Will give brainliest!!!

Answers

Answer:

12 shares

Step-by-step explanation:

what is the answer?????

Answers

Answer:

Step-by-step explanation:

1/4

Answer: It would be 4

So what's happing in the table, is that numbers are being multiplied by 4.

1x4=4

2x4=8

3x4=12

4x4=16

hope I helped :)

what is one fourth divided by 6

Answers

Answer:

Here is decimal form : 0.04166666666

And here is fraction form :): 1/24  Hope this helps!

Step-by-step explanation:

how to calculate 1/4 divided by 6. I will give you the answer in fraction form and in decimal form.

Here is 1/4 divided by 6 displayed mathematically in colors:

1 /4   ÷ 6

The numbers in 1/4 divided by 6 are labeled below:

1 = numerator

4 = denominator

6 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

1 /4 x 6 =    

1 /24

Thus, the answer to 1/4 divided by 6 in fraction form is:

1 /24

DECIMAL FORM :)

to make the answer to 1/4 divided by 6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

1/24 = 0.0417

The answer is rounded to the nearest four decimal points if necessary.

Hurry Timed!!! PLEASE ANSWER

Answers

Answer:

480

Step-by-step explanation:

time all of them

Factor

30x - 18

please answer :)

Answers

it would be 6(5x-3) because that would still equal out to 30x-18

A nicotine patch on the skin absorbs nicotine directly into the bloodstream some stronger patches contain 20 mg nicotine how many patches would kill half of people weighing 60 kg.
(Please answer)

Answers

Bro what is ur school teaching you

Find the missing values in the ratio table. inches 2[][]
years 3 1 8

Answers

Answer:

Enter the values in ratio format.

8 : x = 4 :2

change the ratio format to division format

8/x = 4/2

8/x = 2/1

cross multiply the values

2x = 8

x = 4

hence the 8 pencils would cost 4$

Step-by-step explanation:

The missing values in the ratio table will be 0.666 and 5.33 inches.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Suppose the missing values are x and y.

Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B). By doing so, you are multiplying information A by information B.

As the ratio of the terms is equal. The value of x and y is obtained as,

2/3 = x/1

x=2/3

x=0.66 inches

In order to obtain y,

2/3 = y/8

y=2×8/3

y=16/3

y=5.33 inches.

Thus, the missing values in the ratio table will be 0.666 and 5.33 inches.

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You have to substitute 3x+2y=12

Answers

3x + 2(-3)= 12
3x = 12 + 6
X= 18/3
( 6 ; -3)

Write the phrase as an expression. Four less than three times a number b.

Answers

Answer:

3b - 4

Step-by-step explanation:

Answer:

3b-4

Step-by-step explanation:

I'm big brain.... can I get brainliest

Find two consecutive whole numbers that 54 lies between.

Answers

The square root of 54 is 7.35

What two consecutive whole numbers are less than and more than 7.35?

The two consecutive whole numbers that 54 lies between are 27 and 28, since 54 is greater than 27 and less than 28.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

To find two consecutive whole numbers that 54 lies between, we can start by dividing 54 by 2 and rounding down to the nearest whole number since we want two consecutive numbers that are less than and greater than 54:

54 ÷ 2 = 27

So the two consecutive whole numbers that 54 lies between are 27 and 28, since 54 is greater than 27 and less than 28.

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(Look at picture plz)

Answers

Answer:

1. 1

2. 28

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :D

y is the hourly wage I must pay, and x is the # lifeguards I want to hire
y = 10 - ½ x

Answers

Answer:

x = 20

Step-by-step explanation:

substitute y= 0 first and multuply both sides move the variable to the left.

Simplify: (2 – 8)^2 - |2 - 8|

Answers

the answer to your question: 26

What is the constant of proportionality in the following equation?

y=54.3x

Answers

Answer:

54.3

Step-by-step explanation:

its 54.3

explanation:

which statement about these triangles is true?

Answers

Answer:

I think it's D

Step-by-step explanation:

Answer:

i think it's a or d

but d is more have percent

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