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pychu [463]
3 years ago
13

Two complex numbers have a sum of 14 and a product of 74. Write either of the two numbers.

Mathematics
2 answers:
Alex777 [14]3 years ago
7 0

9514 1404 393

Answer:

  7 +5i   or   7 -5i

Step-by-step explanation:

If the two numbers are represented by x and y, then ...

  x+y = 14

  xy = 74

Substituting for y, we have ...

  x(14 -x) = 74

  x^2 -14x +49 = -74 +49 . . . . . multiply by -1, complete the square

  (x -7)^2 = -25 . . . . . . . . . . . write as a square

  x -7 = ±√(-25) = ±5i . . . . take the square root

  x = 7 ± 5i . . . . . . . . . . . add 7

One of the numbers is 7 +5i.

IrinaVladis [17]3 years ago
3 0

Answer:

Hello,

Step-by-step explanation:

The 2 numbers are roots of the equation:

U²-14U+74=0

Discriminant=14²-4*74=-100

<u>U=7-5i or U=7+5i</u>

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Shkiper50 [21]

Answer:

B, D, E

Step-by-step explanation:

The parenthesis can be removed and this is the same answer as D.

Moving the parenthesis to the first two terms gives B.

Lastly using multiplication sign rules that say -(-) = +, E is the same expression.

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3 years ago
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djyliett [7]
<h3>Answer:  D)   y+3</h3>

==========================================================

Explanation:

Point A is located at (3,1). Point A' is located at (-5,4)

To move from A to A', we'll do two things:

  • Move 8 units to the left
  • Move 3 units up

The "8 units to the left" portion has us go from x to x-8

The "3 units up" part involves y becoming y+3

So that's how we get the translation rule (x,y) \to (x-8,y+3). The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).

Let's try this translation rule on point B to see if we arrive at the proper location of B'

B is at (2,6) which means

(x,y) \to (x-8,y+3)\\\\(2,6) \to (2-8,6+3)\\\\(2,6) \to (-6,9)\\\\

which matches up what the diagram shows. I'll let you verify that the rule also works for point C.

3 0
3 years ago
Can I get some help finding the area of these 2 shapes plz!
zhenek [66]

Answer: Triangle is 28 and the  Parallelogram is 50

Step-by-step explanation:

For the triangle 8×7=56 and then we divide it by 2 so,

56÷2=28

And, for the parallelogram it would be  50 because 5×10 is 50.

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Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Sho
saw5 [17]

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Step-by-step explanation:

Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.

Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.

Together in 1 hour they can paint 1/8 + 1/4 = 3/8

Total hours for painting is 3/8 or 2.66 hours

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3 years ago
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zepelin [54]

Answer: no it not bigger because 30 is bigger than 10

Step-by-step explanation:

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