All categories

3 years ago

Which equation has roots of 3plus or minus sqare rt 2?

Mathematics

1 answer:

vichka [17]3 years ago

6 0

Answer:

Option D is correct.

The equation with roots 3 plus or minus square root 2 is x² - 6x + 7

Step-by-step explanation:

The roots of the unknown equation are

3 ± √2, that is, (3 + √2) and (3 - √2)

The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation

x = (3 + √2) or x = (3 - √2)

The equation is this

[x - (3 + √2)] × [x - (3 - √2)]

(x - 3 - √2) × (x - 3 + √2)

x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)

= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2

Collecting like terms

= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2

= x² - 6x + 7

Hope this Helps!!!

You might be interested in

The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameterof the

Alex787 [66]

16 cm - 2.5 cm = 13.5 cm, which is 1/4 of the diameter of the large gear. Take 13.5 cm * 4, and you have the diameter of the large gear, which is 54 cm.

6 0

2 years ago

Read 2 more answers

abercrombie & Fitch is having a sale. The sign posted in the store says, "everything is marked down 65%." Scott buys a jacke

nikdorinn [45]

a) We have that the discount is 65 %

Scott buys a jacket for $150

First, we will calculate the discount

$150\times\frac{65}{100}=97.5$

then we need to subtract the quantity calculated above from the original price

$150-97.5=52.5$

After the markdown Scott paid $52.5

In order to know the taxes first, we need to calculate the 5% of $52.5

$52.5\times\frac{5}{100}=2.625$

then we will sum the 5% plus the price after the markdown

$52.5+2.625=55.125$

The total cost of the jacket is $55.125

5 0

9 months ago

The yearbook club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jac

damaskus [11]

Answer:

n(R)=9

n(Y)=4

n(B)=5

n(G)=7

n(s)25

probability of getting red =n(R)/n(S)=9/25

6 0

2 years ago

Can Somebody Please Help

Free_Kalibri [48]

Answer:

We have to put the data for purchased item in a frequency table.

Step-by-step explanation:

The diagram is attached below.

Firstly we have to see that how many customers fall under range $0 to 5$ .

Then $5 to 10$ .

Then $10 to 15$ .

Finally

$15 to 20$ .

If we go through the items purchased by customers we can see that item ranges from $0 to 5$ have $4$ customers.

Item purchased range from $5 to 10$ have $2$ customers.

Item purchased range from $10 to 15$ have $7$ customers.

Item purchased range from $15 to 20$ have $1$ customers.

Total number of customers = $14$

As we have total $14$ number of customers and they have varied quantity of items purchased.

6 0

2 years ago

What is the measure of ∠DAE?

Nadusha1986 [10]

Triangle is the measure of

6 0

2 years ago

Read 2 more answers