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Salsk061 [2.6K]
2 years ago
7

Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

Mathematics
1 answer:
Lemur [1.5K]2 years ago
7 0

Answer:

x= -1,  x=1  and x=2

Step-by-step explanation:

The equation is;

x^{13} -2x^{12} -x^{11} +2x^{10} =0

Using a graph tool to graph the equation and identify the solution you will have;

x= -1,

x=1

x=2

Check answers

when x=2

2^{13}-2(2^{12} )-2^{11} +2(2^{10} )\\\\\\2^{13} -2^1(2^{12} )-2^{11} +2^1(2^{10} )\\\\\\2^{13} -2^{13} -2^{11} +2^{11} =0

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The least number to be added to 89 to make it a perfect square is ______.
Neko [114]

Answer: 11

Step-by-step explanation:

The closest square to 89 is 100.

so you have to add 11 to get 100

6 0
3 years ago
Steve earns $8 per hour. His older brother earns $2 more per hour than Steve. What is the ratio of the money Steve earns in an h
Licemer1 [7]
Answer: 4:5

Explanation:

Steve earns 8 dollars an hour. His brother earns 10 dollars an hour.

The ratio is Steve:Brother, which is 8:10.

This can be treated the same was as a fraction and simplified, dividing both sides by 2, which becomes 4:5
5 0
2 years ago
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
ASAP Please help. Thank You!!! :)
liraira [26]
#25.
Convert the fractional numbers into decimals for easier comparison.
3 2/3 is approximately 3.66
-4 2/5 is approximately -4.4
We now have: 3, 3.66, -4.2, -4.4
In order: -4 2/5, -4.2, 3, 3 2/3

#26.
All positive numbers are greater than negative numbers.
When comparing two negative numbers, the one with the larger absolute value, will be less.
So (G) is correct

#27. 
25 = m + 6.3
25 - 6.3 = m + 6.3 - 6.3
m = 18.7

#28.
h = 3.2-1.6 = 1.6

#29.
x = 15.6 - 9.8 = 5.8

#30
p = 17 - 4.5 = 12.5





6 0
3 years ago
Help a brother out with this one please...
Papessa [141]

Answer:

3

Step-by-step explanation:

10x10 is 100 so 300/100 is 3

8 0
2 years ago
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