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Mila [183]
3 years ago
13

Find all the roots of the equation x4 - 2x3 + 14x2 - 18x + 45 = 0 given that 1 + 2i is one of its roots.

Mathematics
1 answer:
patriot [66]3 years ago
7 0
Asked and answered elsewhere.
brainly.com/question/10192511


Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
   (x -1)² -(2i)² = x^2 -2x +5

Long division of the given polynomial by this quadratic gives a quotient of 
  x² +9
which has roots ±3i.

Then all the roots are {-3i, 3i, 1-2i, 1+2i}.
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20,800

Step-by-step explanation:

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What does (-0.75) (5/7) equal ?
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3 years ago
Plz guys help i need asap<br> its part b im stuck
aleksklad [387]

Answer:

a.2nd quarter with 9 goals

b. 4.8 goals

c. 4 goals

Step-by-step explanation:

a. The mode is defined as the most appearing data point or the data point with the highest frequency..

From our data(for away goals):

  • 1st quarter-2
  • 2nd quarter-9
  • 3rd quarter-7
  • 4th quarter-4

Hence, the 2nd quarter has the mode for away goals with 9 goals.

b. Mean is defined as the average of a set of data points.

#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:

\bar x=\frac{1}{n}\sum{x_i}\\1^{st }_g=Away+Home=5+2=7\\\\2^{nd}_g=Away+Home=4+9=13\\\\3^{rd}_g=Away+Home=8+7=15\\\\4^{th}_g=Away+Home=9+4=13\\\\\bar x=\frac{1}{n}\sum{x_i}=\frac{1}{10}(7+13+15+13)=4.8

Hence, the mean number of goals per quarter is 4.8 goals

c. To find the number of more home goals than away goals, we subtract from their summations as:

g_m=\sum{g_h}-\sum{g_a}\\\\=(5+4+8+9)-(2+9+7+4)\\\\=26-22\\\\=4

Hence, there are 4 more home goals than away goals.

4 0
3 years ago
What is the discount and sale price of a $300 item that has been discounted 10%?
maxonik [38]

Answer: The discount is $30, making the sale price $270.

Step-by-step explanation: Take your initial value times the percent of your discount to find the discount amount: in this case, it is 300 * .10 = 30. Then you can subtract that value from your initial value, 300-30=270 to get the sale price.

5 0
3 years ago
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A leak in a water tank causes the water level to decrease by 3.6×10−23.6×10−2 millimeters each second. About how many millimeter
Zolol [24]

Answer: 6.48 \times 10^2

Step-by-step explanation:

Since, According to the question,

The leak in a water tank causes the water level to decrease by  3.6\times 10^{-2} millimeter

That is , in 1 second it decreases 3.6\times 10^{-2} mm

⇒ In 1.8\times 10^4 seconds it will decrease  3.6\times 10^{-2}\times 1.8\times 10^4 mm

⇒ In 1.8\times 10^4 seconds it will decrease  6.48\times 10^{2} mm


7 0
3 years ago
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