1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Triss [41]
3 years ago
6

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
Please help me solve this whole problem!
kondor19780726 [428]

Answer:

(0, -4)

rise/run = (-5/1)

x      y

1     -9

2    -14

3    -19

4    -24

5    -29

6    -34

Step-by-step explanation:

You're going to have to graph it yourself.

Take the coordinated and just plot the points, then draw the line.

(1,-9)

(2,-14)

(3,-19)

(4,-24)

(5,-29)

(6,-34)

3 0
3 years ago
+) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
pychu [463]

Answer:

you need to find 8 gold bars

Step-by-step explanation:

8 0
2 years ago
The measure of a leg of an isosceles triangle is twice the measure of its base. If the perimeter of the triangle is 64 units, wh
VLD [36.1K]

Answer:

B. 12.8

Step-by-step explanation:

I took the test.

Hope you pass( please mark(me) as brainiest.)

7 0
2 years ago
guys.. my crush just asked to call but i’m insecure about my voice. what should i do:(
sasho [114]
Be yourself, think about it your crush is about to call you , you got this
6 0
2 years ago
Suppose the population of Franklin was 29,494 in the year 2000. If the exponential rate of increase is 1.23%, what is the curren
alukav5142 [94]

Answer:

652997

Step-by-step explanation:

1.23*18=22.14

22.14*29,494=652997.16

round it down to get 652997

8 0
3 years ago
Other questions:
  • when a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraccion? Explain.
    11·1 answer
  • Is it possible for a system of linear equations to have no solutions ?
    14·2 answers
  • Angel Grant takes out a $150,000 mortgage this is a 30 year at $725 per month what is the total amount of interest that angel wi
    13·1 answer
  • Which best describes the strength of a model with an r-value of 0.29
    14·2 answers
  • Sam colors each tile in a 4 by 4 grid white or black. A coloring is called rotationally
    15·1 answer
  • After a very successful year, Cheap-Rentals raised salaries by a scale factor of `\frac{11}{10\ }`. If Luan now makes $14.30 per
    9·1 answer
  • Need an explanation pls
    12·2 answers
  • Can someone please answer this! I will give BRAINLIEST for the best answer I get. The photo below has the question, so please an
    8·1 answer
  • 1:2000000 find the land distance 14cm b) 31 cm​
    12·1 answer
  • When a storm moved into Park City, the temperature dropped 5°F. What integer represents the change in Park City's temperature?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!