All categories

3 years ago

Find a complex number a+ ????????????????, with aand ???????? positive real numbers, such that (a+ ????????????????)3 = i.

Mathematics

1 answer:

stepan [7]3 years ago

6 0

Answer:

The complex number is 0+i/3.

Step-by-step explanation:

Let the imaginary part be x.

The complex number will be a+xi

Given:

real part =a

(a+xi)*3=i...............(i)

To find:

imaginary part

Solution:

3a + 3xi=i.............(ii)

Comparing real and imaginary parts of eq(ii).

3a=0 and 3x=1

a=0

x=1/3.

You might be interested in

5.5 divided by 83 in quotient

sammy [17]

the answer is 15.090090

7 0

3 years ago

Find the domain of ( (a+b/b) − (a/a+b))÷( (a+b/a) − (b/a+b) )

Alexandra [31]

Answer:

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b

Step-by-step explanation:

The domain refers to values for which the expression is defined.

This implies that, the denominators are not equal to zero.

$(\frac{a + b}{b} - \frac{a}{a + b}) \div ( \frac{a + b}{a} - \frac{b}{a + b})$

$(\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})$

$\frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}$

$\implies \frac{a}{b}$

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b

7 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST HELP ASAP ASAP

Mrac [35]

Answer:

not possible

Step-by-step explanation:

8 0

3 years ago

The owner of Ray’s Deli wants to find out if there is a relationship between the temperature in summer and the number of glasses

Lemur [1.5K]

Answer:

D) data shows no relationship between temperature and lemonade sales.

Step-by-step explanation:

Don't have an explanation but this is the correct answer.

3 0

3 years ago

Read 2 more answers

1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club me

kaheart [24]

Answer: 120

Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

r = 3

= n! / r! (n - r)!

= 10! / 3! (10 - 3)!

= (10 × 9 × 8) / (3 × 2)

=120

3 0

2 years ago