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
BaLLatris [955]
3 years ago
7

Identify all the real roots of 4x^4+31x^3-4x^2-89x+22=0

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0
Solve for x over the real numbers:
4 x^4 + 31 x^3 - 4 x^2 - 89 x + 22 = 0

The left hand side factors into a product with three terms:
(x + 2) (4 x - 1) (x^2 + 6 x - 11) = 0

Split into three equations:
x + 2 = 0 or 4 x - 1 = 0 or x^2 + 6 x - 11 = 0

Subtract 2 from both sides:
x = -2 or 4 x - 1 = 0 or x^2 + 6 x - 11 = 0

Add 1 to both sides:
x = -2 or 4 x = 1 or x^2 + 6 x - 11 = 0

Divide both sides by 4:
x = -2 or x = 1/4 or x^2 + 6 x - 11 = 0

Add 11 to both sides:
x = -2 or x = 1/4 or x^2 + 6 x = 11

Add 9 to both sides:
x = -2 or x = 1/4 or x^2 + 6 x + 9 = 20

Write the left hand side as a square:
x = -2 or x = 1/4 or (x + 3)^2 = 20

Take the square root of both sides:
x = -2 or x = 1/4 or x + 3 = 2 sqrt(5) or x + 3 = -2 sqrt(5)

Subtract 3 from both sides:
x = -2 or x = 1/4 or x = 2 sqrt(5) - 3 or x + 3 = -2 sqrt(5)

Subtract 3 from both sides:
Answer:  x = -2 or x = 1/4 or x = 2 sqrt(5) - 3 or x = -3 - 2 sqrt(5)
You might be interested in
Briana buys a ring marked $49.99. She receives a 20% discount. Which equation can be used to find the sale price of the ring?
sergij07 [2.7K]
Answer B, s = 49.99(0.80)
5 0
3 years ago
The mean value of 8 numbers is 17. Three of these numbers (9, 11, and 20) are discarded.
Viktor [21]

Answer:

19.2

Step-by-step explanation:

You get the mean of a set of numbers by adding them and dividing the sum by how many numbers there are.  In this case, you don't know what the individual 8 numbers are, but you can find out what they add up to.

Mean = (sum) / 8

17 = (sum) / 8

17 x 8 = sum

136 = sum

Now take out the numbers 9, 11, 20, which reduces the sum by 40.  There are 5 numbers left and they add up to 136 - 40 = 96.

The new mean is 96 / 5 = 19.2

3 0
3 years ago
Find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years.
astra-53 [7]

Answer:

40%

Step-by-step explanation:

every year the interested be 20%

that's why in 2 years be 40%interest

3 0
3 years ago
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur​
olganol [36]

Answer:

do as direct

which one of the following is square of 4

2

8

16

64

4 0
3 years ago
What is the volume of this shape?
snow_tiger [21]
D is the answer


6*10*3= 180 or


6*10 = 60*3 = 180
5 0
3 years ago
Read 2 more answers
Other questions:
  • Ricardo had 2 case of video game with the same number of games in each case .he gives 4 games to his brother.Ricardo has 10 game
    15·1 answer
  • Graph f(x) =<br> x and g(x) = -1/3x+2<br> on the same coordinate plane.
    10·1 answer
  • What is the value of x?
    10·1 answer
  • The total of 3 games is $38.97 . Each game costs the same amount. Write an equation that can be used to determine n , the cost o
    13·2 answers
  • Nat opened an account that earns 1.4% simple annual interest. He will earn $21 total interest after 3 years. How much did he dep
    9·1 answer
  • Will mark brainliest and 15 points :)
    9·1 answer
  • The Area of a rectangle or stock growth chart is 1344 square inches. The length of the chart is 32 inches. Using the correct num
    14·1 answer
  • 9. Max walks 2 km to school in 40 minutes and Dave cycles 5 km to school in 15
    8·2 answers
  • Find sin(a), cos(a), and tan(a). show your work.​
    13·1 answer
  • Which rational number equals 0.5?<br> 01<br> 50<br> 1<br> 5<br> 5<br> 10<br> 5<br> 9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!