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
AleksandrR [38]
3 years ago
9

Which are the solutions of the equation x^4 - 5x^2 - 36 = 0

Mathematics
2 answers:
horsena [70]3 years ago
6 0

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

x^{4} - 5x² - 36 = 0

Use the substitution u = x² then the equation is

u² - 5u - 36 = 0 ← in standard form

(u - 9)(u + 4) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 9 = 0 ⇒ u = 9

u + 4 = 0 ⇒ u = - 4

This indicates there will be 2 real roots and 2 complex roots

Change back to find values of x, that is

u = 9 ⇒ x² = 9 ⇒ x = ± \sqrt{9} = ± 3 ← real roots

u = - 4 ⇒ x² = - 4 ⇒ x = ± \sqrt{-4} = ± 2i ← imaginary roots

V125BC [204]3 years ago
4 0
4x-10x = 36
-6x = 36
X= -6
You might be interested in
Kurt drew a rectangular maze with a length of 3/4 foot and a width of 5/12 foot. What is the area, in square feet, of Kurt's maz
Kryger [21]
Area of a rectangle = length x width

3/4 x 5/12 = 15/48
15/48 = 5/16
The area of Kurt's maze is 5/16 square feet.
7 0
3 years ago
What are the domain and range of the function below?
Sonbull [250]
ANSWER

Domain:
x \geqslant 0

Range:
y \leqslant 4

EXPLANATION

The domain refers to the values of x for which the function is defined.

The least value of x is 0.

Therefore the domain is [0,\infty].

or

x \geqslant 0

The range refers to values of y for which x is defined.

The highest value on the y-axis that the graph can attained is 4. The function decreases without bound.

There the range is (- \infty,4].

or

y \leqslant 4
7 0
2 years ago
Read 2 more answers
What is the ratio of the radius of a circle to its circumference
maksim [4K]
ANSWER:

r : 2 ( Pi ) r

Hope this helps! <3
5 0
3 years ago
Two high schools are going on a field trip. One rents 8 vans and 9 buses for 228 students. The other rents 4 vans and 5 buses fo
nevsk [136]

Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6

8 0
3 years ago
What is the domain of the function graphed?
Salsk061 [2.6K]

Answer:

D) all real numbers

Step-by-step explanation:

The domain is all real numbers because the graph continues to the left and right infinitely.

3 0
3 years ago
Other questions:
  • Is 4,400 is 10 times as much as 400
    6·2 answers
  • How do I solve this three variable equation
    11·2 answers
  • What is the x intercept of 3x+2y=15
    5·2 answers
  • 1/4(8y – 4.8) – 2 (0.9y+ 5.4) + 3/4
    11·1 answer
  • A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?
    11·1 answer
  • Which of the following is the function f(x) if f^-1(x) = 5x - 19?
    8·1 answer
  • In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x. ​
    15·1 answer
  • The plot below shows the volume of vinegar used by each of 171717 students in their volcano experiments.
    14·1 answer
  • I NEED HELP FASTTTT D:
    7·1 answer
  • 4. At which point does the function y = -x² + 6x - 5 reach its maximum value?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!