solve x^2-3x+1=0 using completing the square method​

Answers

Answer 1

This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.

First complete the square

x^2-3x+1=0

(x^2-3x+9/4)+1=9/4

(x-3/2)^2=9/4-1

(x-3/2)^2=5/4

x-3/2=±[tex]\sqrt{\frac{5}{4}[/tex]

x= 3/2±[tex]\frac{\sqrt5}{2}[/tex]

Done!

*Now this next way is not the way your teacher wants you to do it but I personally think its easier.

Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2

x=[3±sqrt(9-4*1*1)]/2

x=(3±sqrt5)/2

x=3/2±sqrt5/2

We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.


Related Questions

How many minutes does April jump rope in 1 day? 1 week?

Answers

Answer:

2 1/3 hours

Step-by-step explanation:

7/1 × 1/3 = 7/3 = 2 1/3 so the answer would be 7/3 or 2 1/3

Mila and Ava play a number game. Mila gives Ava a number and she does three computations:

She subtracts 5 from that answer.
She multiplies the number by 2.
Then, she adds 8 to the answer.
What number should Mila give Ava so that the final answer is 92?

Answers

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92

2x = 94

x = 47

Answer:

Step-by-step explanation:

2(n-5)+8=92

2n-10+8=92

2n-2=92

2n=94

n=47

Solve the equation
v-5/6=-7/8

Answers

first make denominators the same: v-20/24=-21/24
add 20/24 to both sides: v=-1/24
answer: v=-1/24

Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Answers

Answer:

Answers - 2, 1, 1/2 1. (2x3^-2)(5x3^2)^2 (3^-2)(5x2)^2 2. (3^3)(4^0)^2(3x2)^-3(2^2) 3. (3^7x4^7)(2x5)^-3(5^2) 12^2x5^-1x2^-4 4. (2x3)^-1x2^0 (2x3)-1

Step-by-step explanation:

wikipideia

What is the area of the triangle given below?
A. 32 sq. units
B. 17 sq. units
C. 52 sq. units
D. 26 sq. units

Answers

Area of a Triangle: (Base * Height)/2
= (13 * 4)/2
= 52/2
= 26.

So, in conclusion the answer to this question is: answer D. 26 square units.

Solve for n:
3n + 2n - 17 = 38

Answers

Get all the n together so 3n+2n=5n
5n-17=38
Minus 17 from both sides
5n= 55
N= 11
first you +17 to both sides to get 3n+2n=55
then you do 3n+2n= 5n
so you have 5n=55
so then n=11

if 8 equals 40 grams how much is 64 grams

Answers

Answer:

320 grams

Step-by-step explanation:

First you find out how much 1 bat ate

40 divided by 8 = 5

So each bat ate 5 insects

Multiply 5 by the 64 bats

64 * 5 = 320

I think it’s A but I need help double checking!

Answers

Yea it’s A good work

1. f(x) = x^3– 4x^2 – 7x + 10

Answers

9514 1404 393

Answer:

  zeros: {-2, 1, 5}

Step-by-step explanation:

A graphing calculator works nicely for identifying turning points, roots, increasing/decreasing intervals, and more.

Mark buys 3 2/5 pounds of apples. He uses 2/3 of the apples in a recipe. Which of the following expressions can be used to find the number of pounds of apples that Mark uses? A: 2/3 + 2/3 + 2/3 + 2/5 B: 2/3 x 17 3 x 5 C: 2/3 x 6/5 D: 2/3 x 3 + 2/3 x 2/5

Answers

Answer:

b

Step-by-step explanation:

jayfeather friend me

The length of a rectangular frame is 4 inches longer than twice the width. If the perimeter is 38 inches, find the dimensions of the frame.
WILL GIVE WHOEVER ANSWERS BRAINIEST

Answers

Answer:

The width of the rectangle is 20 inches, and the length is 36 inches.

Step-by-step explanation:

2(2x-4) + 2x = 112

4x - 8 + 2x = 112

6x - 8 = 112

6x = 120

x = 20

I hope this helps️️

Convert 6 over 15 to a decimal.
0.2
0.3
0.4

Answers

Answer:

0.4

Step-by-step explanation:

just do 6 divided by 15

Answer: 0.4 :)

Step-by-step explanation:

1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.

Answers

Answer:

8.3 is equal to eight tenths 3 hundredths

28 is equal to 28 tenths.

0.345 times 83.8 I forgot how to do it .w.

Answers

Answer:

28.911

Step-by-step explanation:

you just have to open up a calculator lol

1.5(a + 2) + 1.5a = 11.7

Answers

Answer:

2.9

Step-by-step explanation:

which shows the product of 23 and 39​

Answers

Answer:

23 * 29

Step-by-step explanation:

pls give thanks, 5 star, brainliest

the answer or the equation but 23•39=897

What is the answer ?​

Answers

B is the wright answer

In the slope - 6/11, the 11 indicates to

A. Rise 11 units
B. Fall 11 units
C. Run 11 units

Answers

Answer:

C. run 11 units

Step-by-step explanation:

because you run down -6 you rise 11

Here are eight angles. Which of these angles are obtuse angles?

Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are obtuse, type A, B, F.

Help me please. Please, Please!!!

Answers

it’s D, E. this is because an obtuse angle is an angle that is between ninety degrees and 180 degrees. anything smaller would be an acute angle and anything larger would be a reflex angle.
hope this helps :)

The obtuse angles from the given list are D (between 90° to 180°) and E (111° angle). Thus, the answer is D, E.

The angles are given as follows:

A: less than 45°

B: greater than 270°

C: right angle

D: between 90° to 180°

E: A 111° angle

F: A 222° angle

G: A 0.180° angle

H: A 180.180° angle

To identify which angles are obtuse, we need to determine the angles that are greater than 90 degrees but less than 180 degrees.

Among the given angles:

A: less than 45° (not obtuse)

B: greater than 270° (not obtuse)

C: right angle (not obtuse)

D: between 90° to 180° (obtuse)

E: 111° angle (obtuse)

F: 222° angle (not obtuse)

G: 0.180° angle (not obtuse)

H: 180.180° angle (not obtuse)

Therefore, the obtuse angles from the given list are:

D (between 90° to 180°)

E (111° angle)

The answer is D, E.

Learn more about the obtuse angles here:

https://brainly.com/question/30813354

#SPJ4

John makes a commission of 6% when he sells a house how much is john's commission if he is sells a house for $300,000

Answers

Answer:

18,000

Step-by-step explanation:

6% is 0.06

300,000 * 0.06 = 18,000

Answer:

John's commision is $18,000

Step-by-step explanation:

This is is essentially asking what 6% of $300,000 is.

6% in decimal form equals 0.06

You then multiple the decimal to the orginal value.

(0.06)(300,000) = 18,000

John's commision is $18,000

in which equation is y a nonlinear function of x ? will Mark brainiest is for the correct answer please help me​

Answers

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

The power of x is 1 everywhere except equation (B), where it is 1/2.

Equation B is a nonlinear function of x.

Answer:

Step-by-step explanation: D

You purchase a new mountain bike for $1,575. You put a 10% down payment and $65.56 per month on a 24 month purchase plan. Determine the total finance charge.

Answers

Answer:

c believe me

Step-by-step explanation:

how do you solve y+1=2x

Answers

y =2x-1

Step-by-step explanation:

Describe and correct the error in solving the equation. Help so I can pass math

Answers

Answer:

you subtract seven not add it.

Step-by-step explanation:

jus trust

Answer:

Step-by-step explanation:

Should subtract 7 not add.

x + 7 = 13

  -7      -7

x       = 6.

12x13=? please help I only know up too 12 not. 13 helppppp

Answers

Answer:

156

Step-by-step explanation:

hopefully this is the answer you're looking for

Answer:

156

Step-by-step explanation:

the answer of the product of 12 and 13 is 156

turn 12/5 into a mixed fraction​

Answers

Answer:

2 2/5

Step-by-step explanation:

I hope this helps

Set up the division problem in long division format.

5/12

just divide this you should get your answer.

The volume of a cube is 216 ft^3. What is the length of a side?

Answers

Answer:

54

Step-by-step explanation:

cause a cub has 4 sides so each side is 54

Answer:

The length of a side is 6.

Step-by-step explanation:

Since, the volume of a cube is equal to l*w*h.

V=l*w*h

Volume is equal to side cubed.

V=s^3

Cube 216 to get 6.

216=s^3

3^√216=s

Answer: 6

For a two-day rental at the surf shop, it cost $55 to rent a surf board and $70 to rent a paddle board. On a certain weekend, the surf shop rented 51 total surf boards and paddle boards and made $3300. How many paddle boards were rented?

Answers

Answer:

7 paddleboards

Step-by-step explanation:

In order to solve this, you have to find the total amount that they earned by renting surfboards.

To find this you multiply 55 x 51 =2,805.

Then you use this factor and subtract it from the total amount they earned.

$3,300 - $2,805 = $495.

This shows us that they earned a total of $495 from renting out paddle boards. To find out how many paddle boards were rented out you have to divide $495 by $70 which is how much they charge to rent paddle boards.

495/70 = 7

In conclusion, they rented out 7 paddle boards.

Pls help this is really important

Answers

Answer:

x = 30 I'm sure hope this helps

Find the value of x.
AS
7
х
D
3
B
'c
X=
V[?]
Enter

Answers

9514 1404 393

Answer:

  x = √70

Step-by-step explanation:

The triangles shown are all similar, so corresponding sides are proportional.

  hypotenuse/long side = x/7 = (7+3)/x

Cross-multiplying gives ...

  x^2 = 7(10)

  x = √70

_____

You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.

A similar "geometric mean" relation holds for the short side:

  BC = √(CD·CA)

There is yet another "geometric mean" relation that holds for the altitude:

  BD = √(CD·AD)

You may see these again.

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