All categories

4 years ago

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

Mathematics

1 answer:

ASHA 777 [7]4 years ago

3 0

Answer:

x ={0; - 1 ; 2 ; 1}

Step-by-step explanation:

x¹³-2x¹²-x¹¹+2x¹⁰=0

x¹⁰(x³-2x²-x+2)=0

x¹⁰(x+1)(x-2)(x-1)=0

x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0

x=0 x= - 1 x= 2 x= 1

You might be interested in

Convert 0.2 m^ 3 , into c * m ^ 3

melisa1 [442]

Step-by-step explanation:

${m}^{3} = {cm}^{3} = \div {10}^{6}$

0.2m^3 = 0.0000002 cm^3

3 0

2 years ago

to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac

aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

- 0.22y = - 0.44

y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0

4 years ago

4) What is the total cost (tax and price) on a purchase of $108.50 if the sales tax is 8%?

vitfil [10]

Answer: C)$117.18

$108.50 X 1.08 = $108.50

4 0

3 years ago

I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on g

aev [14]

.Answer:

-105

Step-by-step explanation:

Given

$Gas = \$105$ for 6 weeks

Required

Represent this as an integer

If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.

Debit implies negative and it is represented by a negative symbon

Hence, the integer that represents this scenario is -105

7 0

3 years ago

Write the equation of a line in slope intercept form that has a slope of -½ and contains (4, –5)

evablogger [386]

Answer:

Step-by-step explanation:

y + 5 = -1/2(x - 4)

y + 5 = -1/2x + 2

y = -1/2x - 3

6 0

3 years ago