Mathematics Middle School

Solve the polynomial by completing the square. Show all steps of your work.
[tex]x^2-2x=3[/tex]

Answers

Answer 1
no real answer for this solution so just put in a 0 for this answer
Answer 2
The solution is the following
Solve The Polynomial By Completing The Square. Show All Steps Of Your Work.[tex]x^2-2x=3[/tex]

Related Questions

Solve the polynomial by completing the square. Show all steps of your work.[tex]x^2+10x+14=-7[/tex]

Answers

Answer:

-3, - 7

Step-by-step explanation:

x² + 10x + 14 = -7

x² + 10 x + 21 = 0

Now let's complete the square.

(x + 5)² - 25 + 21 = 0

(x+5)² - 4 = 0

(x+5)² = 4

x + 5 = ± root 4 = ± 2

x = +2-5 or -2-5 = -3 or -7

The values of x that meet the equation x2 + 10x + 14 = -7 are x = -3 and x = -7.

The given equation is: x2 + 10x + 14 = -7.

Transfer the constant term to the opposite side of the equation:

x2 + 10x + 14 + 7 = 0.

Combine comparable terms to simplify the equation: x2 + 10x + 21 = 0.

Complete the square by rewriting the equation with a constant term. To do so, square half of the coefficient of x (which is 10):

Half of ten equals five, and five squared equals twenty-five. Insert 25 into the equation:

x^2 + 10x + 25 + 21 - 25 = 0

Rearrange the terms as follows:

(x2 + 10x + 25) + (21 - 25) = 0.

Reduce the first set of brackets to a perfect square trinomial:

[tex](x + 5)^2 + (-4) = 0[/tex]

Reduce the number of constant terms:

[tex](x + 5)^2 - 4 = 0[/tex]

To find x, take the square root of both sides:

[tex]√((x + 5)^2 - 4) = √0[/tex]

Determine x: x + 5 = 4

To simplify even further, we have: x + 5 = 2

Solve for x separately:

x = -5 + 2 = -3 x = -5 - 2 = -7

As a result, the answers to the equation x2 + 10x + 14 = -7 are x = -3 and x = -7.

Learn more about polynomial from:

https://brainly.com/question/12552477

Factor out the greatest common factor (GCF) using the distributive property (do not solve!).
8 + 12
Hint: Rewrite as __(__+__)

Answers

[tex]\begin{array}{r|l}8&2\\4&2\\2&2\\1\end{array}\\\\8=2^3\\\\\\\begin{array}{r|l}12&2\\6&2\\3&3\\1\end{array}\\\\12=2^2\cdot3[/tex]

Therefore, [tex]\text{gcf}(8,12)=2^2=4[/tex].

And so [tex]8+12=4(2+3)[/tex].

Answer: 4(2+3)

Explanation:
8 and 12 can be factored by 2 as well as 4. When they are factored by 2, the number can still be lower. The greatest common factor is 4 because the numbers can’t be factored any more.

8h-4d/d+1

H=1/4 d=5
Evaluate the expression

Answers

8*1/4-4*5/5+1
=2-20/6
= -18/6
= -3

So, the answer is -3
The answer for this question is -3

given these dimensions, what is the area of the trapezoid, base 5, base 3, height 3

Answers

Answer:

12

Step-by-step explanation:

5+3=8

then

8÷2=4

then

4×3=12

Answer:

12

Step-by-step explanation:

Rewrite x4y2 − 2x3y3 using a common factor.

x2y(xy − 2xy2)
x2y2(x2 − 2xy)
2xy2(x2 − x2y)
2xy(x3y − x2y)

Answers

The second choice bc if you take x2 x x2 it equals x4 then add the y2 at the end to make x4y2. Next, x2 + 2x equals 2x3 then y2 + y equals y3 so if you put ot all
the most common factor is 2

Solve the polynomial by completing the square. Show all steps of your work.
[tex]x^2 - 11x + 24 = 0[/tex]

Answers

Find the common factors that multiply to get 24 and add to get -11 (-8,-3)
Set them equal to 0
-8=0 -3=0 switch the signs
{3,8}
Given equation:
x
2
+11x+24=0
Adding (
2
11
​
)
2
on both side, we get
x
2
+11x+
4
121
​
+24=
4
121
​

⇒(x+
2
11
​
)
2
=
4
121
​
−24=
4
25
​

⇒x+
2
11
​
=±
2
5
​

⇒x=±
2
5
​
−
2
11
​

⇒x=−8 or x=−3

Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).

Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.

Answers

The instructions that you would include in your explanation are:

Identify the output.

Create a table for four input values.

Plot the points from the table.

The instructions to be included

In the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.

Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.

Learn more about ordered pairs here:

https://brainly.com/question/1528681

#SPJ1

Answer:1 to 2

             2 to 4

Step-by-step explanation:

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