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Alenkinab [10]
3 years ago
15

How do you do x ^4-4? What is the x values?

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0
We know that
A difference of two perfect squares (A² - B²)  <span>can be factored into </span><span> (A+B) • (A-B)
</span> then
x ^4-4--------> (x²-2)*(x²+2)
(x²-2)--------> (x-√2)*(x+√2)
x1=+√2
x2=-√2

the other term
(x²+2)=0-> x²=-2-------------- x=(+-)√-2

i <span> is called the </span><span>imaginary unit. </span><span>It satisfies </span><span>  i</span>²<span>  =-1
</span><span>Both </span><span>  i </span><span>  and </span><span>  -i </span><span>  are the square roots of </span><span>  -1 
</span><span>√<span> -2 </span></span> =√<span> -1• 2  </span><span> = </span>√ -1 •√<span>  2  </span> =i • <span> √<span> 2 </span></span>
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x3=  0 + √2<span> <span>i  
</span></span>x4=  0  - √2<span> i </span>

the answer is 

the values of x are
x1=+√2
x2=-√2
x3=  0 + √2 i  
x4=  0  - √2 i

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List 4 multiples of 24.
Aliun [14]

Answer:

24,48,72,96,120,144,168,192,216,240,264,288,312,336,360,384,408,432,456,480,504,528,

Step-by-step explanation:

hope this helps you sorry for the extra :)

3 0
4 years ago
Read 2 more answers
If 10 people apply for 3 jobs in how many ways can people be chosen for the jobs. 1. If the jobs are all the same. 2. If the job
Crank

Answer:

1. 120 ways

2. 720 ways

Step-by-step explanation:

When the order is important, we have a permutation.

When the order is not important, we have a combination.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

1. If the jobs are all the same.

Same jobs means that the order is not important. So

3 from a set of 10.

C_{10,3} = \frac{10!}{3!(10-3)!} = 120

120 ways

2. If the jobs are all different.

DIfferent jobs means that the order matters.

P_{(10,3)} = \frac{10!}{(10-3)!} = 720

720 ways

6 0
3 years ago
What is the value of (a+b) in the system of equations below?
zavuch27 [327]

Answer:

C

Step-by-step explanation:

6(a+b) + 2z = -8 ; divide by 2

3(a+b) + z = -4

a+b+z = 2; subtract z from both sides

a+b = 2-z; substitute a+b into equation  3(a+b) +z = -4

3(2-z) +z = -4; distribute

6 - 3z+ z= -4 ; subtract 6 on both sides

-3z + z = -4 -6 ; combine like terms

-2z = -10; divide both sides by -2

z= 5

3(a+b) +z = -4; substitute z by 5

3(a+b) +5 = -4; subtract 5 from both sides

3( a+b) = -4 -5; combine like terms

3(a+b) = -9; divide both sides by 3

(a+b) = -3

5 0
3 years ago
How to write 412.638 using fractions
DENIUS [597]
412 is a whole number,  638 is the number you want to look at.

your answer is 412    638/1000

or 412  63.8/100

hope this helps
7 0
4 years ago
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What the answer for the poles in feet.
OverLord2011 [107]

Answer:

A)10 feet tall

Step-by-step explanation:

The man casts a shadow half his height and so does the telephone pole

7 0
3 years ago
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