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
max2010maxim [7]
3 years ago
15

The roots of x^2-()+34 are 5+3i

Mathematics
2 answers:
krek1111 [17]3 years ago
5 0

Answer:

We're given the roots of a quadratic function.

And, we are looking for the middle term.

Since the Quadratic Formula is used to determine the roots of a quadratic function, we can use the Quadratic Formula to get the value of the coefficient of the middle term.

      ax² + bx + c             ← Standard form ... Notice that there are two plus signs

       x² − (__) + 34            ← This is what we're given

        x² − mx + 34            ← This is what we know ... Now, put this in standard form

  ➊  x² + (-m)x + 34           ← a = 1, b = -m, c = 34

       -b ± √(b²-4ac)

x = ———————            ← Rewrite this as two fractions to fit the form of 5±3i

               2a

       -b        √(b²-4ac)

x = —— ± —————            ← Compare this to  5 ± 3i

        2a              2a

So,

        -b        -(-m)

     ——– = ——–– = 5  ⇒  m = 10a  ⇒  m = 10

         2a           2a

Therefore,

  ➊  x² + (-m)x + 34

       x² −   mx + 34           ← Now, substitute  10 for  m

       x² − 10x + 34           ← ANSWER

Step-by-step explanation:

wolverine [178]3 years ago
5 0

Answer:

try socratic it helps also

You might be interested in
You bought a binder for $5 and four notebooks. You spent a total of $17. How much did each notebook cost?
Alenkasestr [34]

Answer:

$3

Step-by-step explanation:

17 - 5 = 12 divided by 4 = 3

4 0
3 years ago
Read 2 more answers
Classify 3x^5+5x^4-7x^3+15 by number of terms?
Dmitry_Shevchenko [17]
The polynomial has 4 terms in total.
7 0
3 years ago
Read 2 more answers
Assume that a postal code consists of 6 characters. Each character can be any letter from A to Z or any numeral from 0 to 9. How
mafiozo [28]

Answer:

36^6 postcodes

Step-by-step explanation:

Think of the post code as a combination lock

[?] [?] [?] [?] [?] [?]

If letters a numbers are allowed, each character can be A-Z and 0-9.

There are 26 letters, and 10 different digits

26 + 10 = 36 characters

Each block (I illustrated above) can be any of the 36 characters

If you have 2 blocks, you have a combination of

36 x 36 characters — which is the same as 36^2

With 3 blocks: 36^3

and so forth...

If your post code is made of 6 'blocks' it can be any combination of

36^6

6 0
2 years ago
A book bought for $20 was sold at a loss of 15%. What is the selling price?​
My name is Ann [436]

Step-by-step explanation:

SP=?

L%=15%

CP=$20

WE KNOW,

L= L%/100×CP

L= 15/100×20

L= 15/5

L= 3

NOW,

L = CP-SP

Or, 3 = 20 - SP

Or,SP= 20 -3

SP=RS 17

5 0
3 years ago
Read 2 more answers
Connie bought 2 1/2 liters of paint for 60$ What was the cost per liter of paint?
Kruka [31]

Answer:

$24

Step-by-step explanation:

Divide the total cost of the paint by the amount of paint bought.

$60 ÷ 2.5 = $24

I hope this helps :)

5 0
3 years ago
Other questions:
  • Estimate 58% of 121 by using 10%
    11·1 answer
  • What is the least common multiple of 24, 95, 94
    14·1 answer
  • Verify that this trigonometric equation is an identity?
    15·1 answer
  • A researcher wants to find out if there is a significant difference between men and women in the average number of tattoos that
    15·1 answer
  • If x - 1 = 5, what is the value of 8x - 8
    8·2 answers
  • Can someone help me out
    10·2 answers
  • The equation that corresponds to this diagram is 6 (x+ 1)=24.
    9·1 answer
  • 10% of which number is equal to 140?<br> Please help
    14·2 answers
  • What is the missing statement in the proof?
    9·1 answer
  • An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!