1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
3 years ago
10

Solve 2x^3+7x^2-2x-1=o​

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

2x^3+7x^2-2x-1 = 0

We have to find all the factors of a and d and put them in a fraction

a=2\\d=-1\\\frac{1}{1,2}

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get x^2+4x+1

So now the equation is (2x-1)(x^2+4x+1)

Solve the second half of this equation using the quadratic formula to get

\sqrt{3}-2 and -\sqrt{3}-2

We already know the solution for the first half of the equation (1/2)

So the final answers are:

x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}

You might be interested in
Distance between two points ( phythagorean thereorm)
Ilya [14]
What are the points?
3 0
3 years ago
-45×68 what is the answer
Marianna [84]
Answer: -3060

68
-45
--------
340
272x <-- the x is in place of a zero
--------
3060

times the negative: -3060
4 0
2 years ago
Plzz look into the question in the attachements
iren2701 [21]

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

We know that :

\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}

where : r is the radius of the circular cross-section.

             h is the height of the right circular cone.

Substituting the respective values in the formula, we get :

\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}

\mathsf{\implies 16 \times \dfrac{h}{3} = 48}

\mathsf{\implies \dfrac{h}{3} = 3}

\implies \boxed{\mathsf{h= 9 \ cm}}

<u>Answer</u> : Height of the given right circular cone is 9 cm

8 0
2 years ago
A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the
Alona [7]
We are given the expression of the equation of a circle that is x2 + y2 + 14x + 2y + 14 = 0. Using ocmpleting the squares: 
x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal ot square root of 36 equal to 6. 
7 0
3 years ago
Read 2 more answers
There are 454 grams in a pound. There are 16 ounces in a pound. How many grams are in an ounce?
Lostsunrise [7]

Answer: There are 28.375 grams in an ounce.


Step-by-step explanation:

Given: Total grams in a pound =454 grams

Total ounces in a pound = 16 ounces

Therefore, 16 ounces = 454 grams

To find grams in an ounce, we need to divide 454 grams by 16, we get

The total grams in an ounce=\frac{454}{16}=28.375\ grams

∴The total grams in an ounce= 28.375 grams

Hence, there are 28.375 grams in an ounce.

8 0
3 years ago
Read 2 more answers
Other questions:
  • The endpoints of MP are M(1,4) amd P(16,14). If A partitions MP in a ratio of MA:AP = 2:1, which of the following represent the
    8·1 answer
  • Find the volume of a cylinder with the height of 4 in and base 5 in
    6·1 answer
  • Solve sin^2 theta*sec theta+cos theta= sec theta<br><br>SHOW WORK!!!
    6·1 answer
  • Which data will most likely show a negative correlation when graphed on a scatter plot?
    9·2 answers
  • Lila is building a playground. There are 9 different slides and 5 swing sets to choose from. If the playground will include one
    15·1 answer
  • Not sure how I would solve this
    11·1 answer
  • Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
    14·2 answers
  • What is the answer to 54x^2-144x
    10·2 answers
  • What solution value does not satisfy the compound inequality x – 7 &lt; 17 or –6x &gt; 36? Question 2 options: A) x = – 10 B) x
    10·1 answer
  • A plant is 3 inches tall when you purchase it and grows 2 inches per month. Write an equation in slope intercept form that repre
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!