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
No link need right answer 100 points
maks197457 [2]

Answer:

13 1/8

Step-by-step explanation:

3/2* 7/2*5/2

= 105/8

= 13 1/8

8 0
3 years ago
If x = 3 cm and z = 5 cm, what is the length of y?
kherson [118]

Answer:

D.

Step-by-step explanation:

8 0
3 years ago
Since a math school opened the girls basketball team had the same record every season the team won a total of 182 games while lo
Tems11 [23]

Answer:

11

Step-by-step explanation:

I guess

6 0
3 years ago
The radius of circle B is 6 centimeters. The area of the shaded sector is 31.42 square centimeters. Calculate the angle of the s
algol13

Answer:

100

Step-by-step explanation:

i dont know but the website i was on said 100

5 0
3 years ago
The vertices of a rectangle are (1, -3), (4,0), (0,4) and (-3,1). What is the area of the rectangle? ​
motikmotik

Answer:

48

Step-by-step explanation:

You can use a graphing calculator like desmos or draw your own graph to figure this out. Start by graphing each of those points. Then count the width and height. Multiply them to get the area. The width and height of the rectangle were 6 and 8, so the area is 48

3 0
2 years ago
Other questions:
  • Which value of the variable is a solution of the inequality t< -6?
    5·1 answer
  • What’s the answer for the photo
    12·1 answer
  • NO CAP 45 PTS I NEED A 100
    8·1 answer
  • Find the missing coefficient (5d - 7)(5d - 6) = 25d2 + what d + 42
    8·1 answer
  • The table shows the amount of money in your bank account over a period of 5 weeks. You plan to keep saving at the same rate unti
    14·2 answers
  • I need help with this one too. Please!!
    9·2 answers
  • Explain when it is better to use a 20% off coupon and when it is better to use a $20 off coupon.
    11·1 answer
  • A store display rotates 40 times every half hour. How many times will the display rotate in 4 hours?
    7·1 answer
  • Rochelle bought 4 pieces of ribbon to finish a project. Each puece was 1 5/12 yards long. What is the combined length of the rib
    15·1 answer
  • What happened that caused Brian to lose his shelter and all of his belongings? (picture in link) helpp pls fast!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!