All categories

2 years ago

Find two complex numbers that have a sum of i10 a different of -4and a product of -29

Mathematics

1 answer:

lianna [129]2 years ago

8 0

Step-by-step explanation:

Let the complex numbers be $a+ib\textrm{ and }c+id$ .

Given, sum is $10i$ , difference is $-4$ and product is $-29$ .

$(a+c)+i(b+d)=10i$ ⇒ $a+c=0,b+d=10$

$(a-c)+i(b-d)=-4$ ⇒ $a-c=-4,b-d=0$

$a=-2,c=2,b=5,d=5$

$(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29$

Hence, all three equations are consistent yielding the complex numbers $-2+5i\textrm{ and }2+5i$ .

You might be interested in

math help ! Will give branliest !! At a car and truck dealership, the probability that a vehicle is white is 0.25 . The probabil

defon

Answer:

As per the statement:

Let Event A represents the probability that a vehicle is white and Event B represents the probability that it is a pick up truck .

then;

$P(A) = 0.25$ and $P(B) = 0.15$

It is also given that:

The Probability that it is a white pick up truck is 0.06.

⇒ $P(A \cap B) = 0.06$ where $A \cap B$ represents that it is white pick up truck.

We have to find the the probability that the vehicle is white {given that the vehicle is a pickup truck}

We use the formula:

$P(A/B) = \frac{P(A \cap B)}{P(B)}$

where

$A/B$ represents that the pick up truck vehicle is white.

Substitute the given values we get;

$P(A/B) = \frac{0.06}{0.15} = 0.4$

Therefore, the probability that the vehicle is white, given that the vehicle is a pickup truck is 0.4

7 0

2 years ago

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a

shusha [124]

Answer:

C. (18+4)

Step-by-step explanation:

The answer on ed

6 0

2 years ago

Read 2 more answers

Lyle graphs triangle ABC on coordinate axes. He performs two transformations on this figure that result in the congruent triangl

Shtirlitz [24]

Answer:

a rotation 90˚ clockwise and then a reflection across the y-axis

Step-by-step explanation:

I'm doing the test right now

3 0

1 year ago

How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?

tatuchka [14]

So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> 73 - 17 = 73 x 6 - 17 x 8 
 8 6 8 x 6 6 x 8
=> 438 – 136 Now, we have the same denominator, subtract
 48 48
=> 302 or 151
 48 24
=> 6 7
 24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.

4 0

2 years ago

The radius of circle G is 4 cm. What is the tangent

qaws [65]

The tangent of a given circle is perpendicular to the radius a the point called point if tangency. The radius of the circle is perpendicular to the tangent at the point of tangency. This property is especially useful in cases where the radius that connects to the point of tangency forms a part of right angle because the pythagorean theorem and trigonometry apply to right angles.

4 0

2 years ago

Find two complex numbers that have a sum of i10 a different of -4and a product of -29​

Find two complex numbers that have a sum of i10 a different of -4and a product of -29