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
lyudmila [28]
3 years ago
7

Please help with the question,

Mathematics
2 answers:
castortr0y [4]3 years ago
8 0
The correct answer is x^2-2x+2=0

 The explanation is shown below:

 1. To solve the problem shown in the figure above, you must apply the following proccedure:

 2. You have that the roots of the quadratic equation shown in the figure attached in the problem are:

  x=-1±i

 3.  Then, you know the quadratic formula to solve quadratic equations, which is:

 (-b±√(b^2-4ac))/2a

 4. You can see in the figure that a=1 and c=2; then, by analizing this, you can conclude that the coefficient b is:

 b=-2

 5. Therefore, you can conclude tha the quadratic equation is:

 x^2-2x+2=0

 6. If you want to verify it, apply the quadratic formula to the quadratic equation shown above and you will obtain the roots shown in the figure.
zvonat [6]3 years ago
8 0

To form a quadratic equation, let α and β be the two roots.

Let us assume that the required equation be ax<span>22</span> + bx + c = 0 (a ≠ 0).

According to the problem, roots of this equation are α and β.

Therefore,

α + β = - <span><span>ba</span><span>ba</span></span> and αβ = <span><span>ca</span><span>ca</span></span>.

Now, ax<span>22</span> + bx + c = 0

⇒ x<span>22</span> + <span><span>ba</span><span>ba</span></span>x + <span><span>ca</span><span>ca</span></span> = 0 (Since, a ≠ 0)

⇒ x<span>22</span> - (α + β)x + αβ = 0, [Since, α + β = -<span><span>ba</span><span>ba</span></span> and αβ = <span><span>ca</span><span>ca</span></span>]

⇒ x<span>22</span> - (sum of the roots)x + product of the roots = 0

⇒ x<span>22</span> - Sx + P = 0, where S = sum of the roots and P = product of the roots ............... (i)

Formula (i) is used for the formation of a quadratic equation when its roots are given.

Given the roots: (-1+-i)

where; i=sqrt(-1)

Thus, the answer is (2x)

You can also do checking to verify if x^2+2x+2 will have roots equal to (-1+-i)

You might be interested in
Which statement are true regarding undefinable terms in geometry
Zina [86]

Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.

7 0
2 years ago
Read 2 more answers
If f(x) = x^2 +1, and g(x) = x - 2, find [fºg)(x).<br> PLEASE HELP
dem82 [27]

Answer:

A.

Step-by-step explanation:

8 0
2 years ago
What is the solution to y = x + 2 and y = 3x – 2 and how do you know? PLEASE HELPPPPP! THANK U!
Nutka1998 [239]

Answer:

(2,4)

Step-by-step explanation:

We have the system:

y=x+2

y=3x-2.

This is already setup for substitution.

I'm going to replace my first y with what the second y equals.

That is, I'm going to write 3x-2=x+2.

Time to solve the following for x:

3x-2=x+2

Subtract x on both sides:

2x-2= 2

Add 2 on both sides:

2x. = 4

Divide both sides by 2:

x. = 2

Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.

So we y=x+2 with x=2 which means y=2+2=4.

So the solution, the intersection, is (2,4).

5 0
3 years ago
Read 2 more answers
What is twice 230? Write using exponents. Explain your reasoning.​
Zielflug [23.3K]
2 x 230 = 231
I’m not 100% sure if this is correct?? Hope it helps though
6 0
3 years ago
Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.
fgiga [73]

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

4 0
3 years ago
Other questions:
  • a farmer puts an equal number of fruits in each of 6 baskets. if there are 18 pears &amp; 24 peaches, how many pieces of fruit a
    11·2 answers
  • Alan deposited $300 into a savings account. At the end of the first year the amount of money in the account had increased to $33
    11·2 answers
  • - 1 (multiplicity 3), 3 (multiplicity 4)
    9·1 answer
  • Which expression is equivalent to 63.56 + (–81.47)?
    11·2 answers
  • The greenhouse club is purchasing seed for the lawn in the school courtyard. The club needs to determine how much to buy. Unfort
    7·1 answer
  • Find the rate of change for the function <br> A)90<br> B)60<br> C)30<br> D)3
    9·1 answer
  • Look at the image below and choose the answer the represents an ordered pair.
    10·2 answers
  • In 3 hours, Fast Eddy performed 21 663 loops with his yo-yo. How manyloops could he do in 8 hours at this rate?
    11·2 answers
  • 6 more than the square of r is same as 33 .
    8·1 answer
  • A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!