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
vladimir1956 [14]
3 years ago
10

Solve for the roots in the equation below. x4 + 3x2 - 4 = 0

Mathematics
1 answer:
fgiga [73]3 years ago
8 0
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x²  )(x²  )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>

You might be interested in
PLEASE HELP IM STUUUCK
Arada [10]

Answer:

there 3x and 4y hope this makes sense ik on a rush

8 0
3 years ago
| 7x28 = (748) + ( 7 *__) =
masya89 [10]

Answer:

-23

Step-by-step explanation:

i dont know

3 0
3 years ago
Sin(-x)= -cos x for all values of x. True or false
kogti [31]

Answer:

That's incorrect. The simplest way to show this is by evaluating the functions at a given point. Let's say x=0, then:

Sin(-x) = Sin(0) = 0

-cos x = -cos (0) = -1

Therefore, Sin(-x)≠-cos x.

5 0
3 years ago
Read 2 more answers
explain how you would find how many 1 1/2 cups servings there are in the pot that cantains 22 1/2 cups of soup
galina1969 [7]

Answer:

43 is how many 1/2 cup servings there are in 22 1/2.

7 0
3 years ago
Six friends went out to lunch they each started with the same amount of money and they each spent 8$ they ended with a combined
ss7ja [257]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How am I supposed to solve this? I know how to do the equations but I don't know why there are only 2 places to put an answer fo
    9·1 answer
  • 1,2,3,10,7,7,7,8,9,10 nilai median dan modus adalah ?
    12·1 answer
  • HeLP ME!!! 2/5w-2=7/5w solve the equation using the addition property of equality.
    7·1 answer
  • Please help i will give you 10 points
    15·1 answer
  • I give brainliest if the answer is correct
    15·1 answer
  • If y=32, then x=4. what is the value of x when y=160
    10·1 answer
  • Ok this is very dificult for me to answer so....
    5·2 answers
  • If I lost 4% of 100 pencils an 6% of 200 pens how many pencils do I have left and how many pens do I have left?
    13·1 answer
  • 6,336 ft. = in league
    11·1 answer
  • How do you categorize each of these questions as one of these types
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!