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lord [1]
2 years ago
7

How to Factor the Trinomial x^2 - x + 1 using the box method?

id="TexFormula1" title="x^2 - x + 1" alt="x^2 - x + 1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IRINA_888 [86]2 years ago
7 0

Answer:

x = 1+√3 i/2 and x = 1-√3 i/2

Step-by-step explanation:

Given the expression x^2 - x+ 1, we are to factorize the expression as shown;

x^2 - x+ 1,

using the general formula

x = -(-1)±√1²-4(1)/2(1)

x = 1±√1-4/2

x= 1±√-3/2

x = 1±√3 i/2

Hence the required value of x are x = 1+√3 i/2 and x = 1-√3 i/2

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Imagine that you take a road trip from A to D, but you have to do it in segments. Let’s say the distance from A to B is 145 mile
Rzqust [24]

Answer: The average is 70.

Step-by-step explanation:

145+160+115=420

420 divided by 6 =70

So the average is 70.

4 0
2 years ago
Read 2 more answers
Sunhee had four plastic shapes a square, a circle, and a pentagon in how many ways can she line up the four shapes of the circle
julsineya [31]

Answer:

only three shapes are mentioned.

But anyhow, 4 shapes allow the following reasoning...

you can start lining up with any of the for shapes, so you have 4 possibilities, for the second position you have 3 possibilities, for the third 2 and for the last only 1.

so 4*3*2*1= 24 possible ways

but with the added rule to keep the circle and the square apart, we have to reduce the number.

by the same step-by-step reasoning we get

4 possibilities for the 1st item

only 2 possibilities for the 2nd item

(if 1st is square or circle, the other one's not an option, if it's not we have to choose one of them to not place them both at point 3 and 4)

only 1 choice for the 3rd item

(reasoning as above, if 2nd is square or circle, we have to the only other, if it isn't, we can put it here at 3rd position)

plus scenarios where either square or circle are on 1st point, the other's on 4th.

I guess that makes 14 possible arrangements

5 0
3 years ago
Helppppp plssss I’m not tryna fail math !!!
kirill [66]

Step-by-step explanation:

  1. 1.25 × 10^-4
  2. 2.0 × 10^-4
  3. 3.25×10^-6
4 0
3 years ago
Choose all the important facts about the y-intercept. (multiple select - more than one answer is correct) The y-intercept tells
iogann1982 [59]

Answer:

Your answer should be C and D

Step-by-step explanation:

The y-intercept of the line is the value of y at the point where the line crosses the y axis.

5 0
3 years ago
Solve the equation by completing the square and then solving for x. 1. x^2-6x=12<br>2. 2x^2-24x=-20
Paraphin [41]

Answer:  (x - 3)² = 21

<u>Step-by-step explanation:</u>

x² - 6x + ____ = 12 + ____

       ↓        ↑                 ↑

    \frac{-6}{2} = (-3)^{2}

x² - 6x + <u> 9 </u> = 12 + <u> 9 </u>

       (x - 3)²  =    21

*******************************************************

Answer:  (x - 6)² = 26

<u>Step-by-step explanation:</u>

2x² - 24x = -20

<u>÷2 </u>   <u> ÷2  </u>    <u> ÷2 </u>

 x² -  12x =  -10

x² - 12x + ____ = -10 + ____

       ↓        ↑                   ↑

    \frac{-12}{2} = (-6)^{2}

x² - 12x + <u> 36 </u> = -10 + <u> 36 </u>

       (x - 6)²  =    26

8 0
3 years ago
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