To find the roots of the quadratic equation 3x²- 2x+1=0 using the quadratic formula​

Answers

Answer 1

Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps

Step-by-step explanation:

Answer 2

Answer:

[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]

Step-by-step explanation:

Hello!

The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].

The expression 3x² - 2x + 1 is a lot like our standard form:

a = 3b = -2c = 1

Let's plug in the values and solve.

Solve the Quadratic Formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]

The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]

Learn more about the derivation of the quadratic formula here:
https://brainly.com/question/11630991


Related Questions

Remove the brackets using the distributive law for the following: 2(x + 3)

Answers

Answer:

2x + 6

Step-by-step explanation:

= 2(x + 3)

= 2(x) + 2(3)

= 2x + 6

During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89

Answers

Answer:

0.89

Step-by-step explanation:

The probability of Larry making the next free throw is, 0.89

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, we can assume that Larry Bird has a 89% chance of making any given free throw.

Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.

Therefore, the probability of Larry making the next free throw is also 89%.

Thus, the probability of Larry making the next free throw is, 0.89

Learn more about the probability visit:

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Evaluate the following: 18 + 3 |6 - 25| - 11

Answers

Answer:

29

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

f(x)= 3x - 5x + 2x – 3

Answers

There is no x-intercept/zero

Josie is looking at buying a new phone for $800.If she does not want to pay the entire $800 she has the option of buying the phone for a $150 deposit and making 12 monthly payments of $75 each. If Josie chooses the payment plan what will be the percent increase on the original cost of the phone?

Answers

Answer:A 131.25%

Step-by-step explanation:

y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

Helppppppp I’ll give you 10 pointssss plzzz

Answers

Answer:
$113.40
explanation:
TV = $180
40% = 40/100 = .4
$180 * .4 = $72
$180 - $72 = $108 is the sales price.
Sales tax
5% = 5/100 = .05
$108 * .05 = $5.40
$108 + $5.40 = $113.40
The TV costs $113.40 including tax, after the discount.
The answer is 113.14

ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.

Answers

HERE I FOUND IT

Find the LENGTH of Arc AB.

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?​

Answers

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

Substitution.
-3x - 2y = -12
y = 5x - 7

Answers

Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2

Which of the following words/phrases does not belong? rate of change, y-intercept,slope, change in y/change in x HURRY ILL GIVE BRAINLEST

Answers

Answer

rate of Change is the odd one I think

At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3

Answers

120 is the answer u neee to multy 7and 99

At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks were sold?​

Answers

Answer:

25

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

What is the area of this figure? Enter your answer in the box.​

Answers

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Thanks we have same question

Elijah is going to invest in an account paying an interest rate of 5.5% compounded
continuously. How much would Elijah need to invest, to the nearest hundred dollars,
for the value of the account to reach $1,400 in 16 years?

Answers

Answer

she will need to invest 77 dllors

Step-by-step explanation:

Please help math experts thank you

Answers

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

answerd plz if correct 5 stars

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

choice c has a value of .9, so c

Step-by-step explanation:

i hope this helps

-8^2+18/ 3=
Evaluate the expression.

Answers

-8 to the second power is -64. 18/3 is 6. -64+6 is -58!!

Find the roots: x^2−12x+32=0​.

Enter your answers in the boxes (numbers only).

Answers

The answers are 4 and 8.

Because:

x^2 - 12x + 32 =

(x - 4)(x - 8)

x - 4 = 0

   +4    +4

x = 4

x - 8 = 0

  +8    +8

x = 8

How do you do 3++3 because i need help with this. I am learning this and are confused

Answers

3+3? it’s 6. if that’s what u mean

I NEED HELP!!!

Find the area of this figure

Answers

Answer:

265 yd squared

Step-by-step explanation:

We can solve this problem by taking the little triangle on the left side and moving it to the right to get a rectangle, and from there we can find the area like its a rectangle

21.2*12.5=265

A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.


How many feet of molding will he need?

Round to the nearest foot.

Answers

Answer:

16.97 feet

Step-by-step explanation:

a^2=b^2+c^2

24^2=576

b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet

In the coordinate graph shown, the x-axis and y-axis have different scales. Which statement below is NOT correct?
A. On the x-axis, 1 tick mark represents 0.5 unit
B. On the y-axis, 1 tick mark represents 0.4 unit
C. The length of the red segment is 3 units
D. The length of the blue segment is 4 units

Answers

Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.

the slope of the line below is -3. use the coordinates of the labeled point to find a point-slope equation of the line (5,-7)

a. y-7=3(x+5)
b. y-7=-3(x+5)
c. y+7=-3(x-5)
d. y+7=3(x-5)

Answers

I would say c but it might not be correct

Answer: C. y+7=-3(x-5)

use the graph to answer these questions. what is the slope and y-intercept?

Answers

slope: -1/4

y-int: -1

y=(-1/4)x-1

How many dimes and quarters?

what would the system look like?

picture is linked!!!

Answers

Answer:

I think it is twenty-three dimes and one quarter

Answer:

7 quarters and 8 dimes

Step-by-step explanation:

If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.

need help I will give brainiest

Answers

Answer: 97

Step-by-step explanation:

10+3+3+33+33+15


Choose the correct simplification of the expression (a^2 multiplied by b^5)^3

A^6/b^15

A^5/b^8

A/b^15

A^6/b^11

Answers

Answer:

1

Step-by-step explanation:

the first one because if you take the expression that you want, and expanding it out, you will get the first one.

Answer:

A

Step-by-step explanation:

(a^2)^3 (b^5)^3

The powers multiply when written like this. They don't add.

a^6 b^15

A

16 cars are parked if 1/4 of them are blue how many cars are blue

Answers

Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,

Answers

Answer: x = 7.5

Step-by-step explanation:

Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )

The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.

a = 4                              First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]

b = x                         Second: [tex]16+x^{2}=72.25[/tex]  

c = 8.5                          Third: [tex]x^{2}=56.25[/tex]

                                  Fourth: [tex]x=\sqrt{56.25}[/tex]

                                      Fifth: x = 7.5

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