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
Elis [28]
3 years ago
11

What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
<h3>Answer:</h3>

The real solutions are -5, -4, 4, 5. There are no complex solutions.

<h3>Step-by-step explanation:</h3>

The equation ...

... x^4 -41x^2 +400 = 0

can be factored as ...

... (x^2 -16)(x^2 -25) = 0

... (x -4)(x +4)(x -5)(x +5) = 0

So, all roots are real and are ...

... x ∈ {-5, -4, 4, 5}

_____

These are the values of x that make the factors zero.

You might be interested in
Solve for x. 8/x-7=7/2
zloy xaker [14]
X= 9 2/7 ( the first answer is correct )
6 0
3 years ago
Read 2 more answers
If cot x = .78, what is tan x
Vanyuwa [196]
We know, tan x =  1 / cot x
So,tan x = 1/ 0.78
tan x = 1.28

In short,Your Answer would be 1.28

Hope this helps!
3 0
2 years ago
to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac
CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u>x.<u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> y.

So, the total number of liters:

x+y=2000.

y=2000-x\ \ \ ....(1)

Now, the total percentage of saline solution:

90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000

\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000

0.9x+0.4y=1200

Substituting the value of y from equation (1) we get:

0.9x+0.4(2000-x)=1200

0.9x+800-0.4x=1200

0.5x+800=1200

Subtracting both sides by 800 we get:

0.5x=400

Dividing both sides by 0.5 we get:

x=800.

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of x in equation (1) to get the liters of 40% saline solution:

y=2000-x

y=2000-800

y=1200.

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0
3 years ago
Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pa
IRINA_888 [86]

Answer:

A  $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax.  $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00.  $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

8 0
2 years ago
What is the dilation for the transformation below?​
lys-0071 [83]

Answer:

The dialation is of 2

Step-by-step explanation:

QR = 3 units

QS = 2 units

RS = 2 units

Q'R' = 6 units

Q'S' = 4 units

R'S' = 4 units

So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

4 0
3 years ago
Other questions:
  • Increasing W-4 allowances will ________ the net pay in your paycheck and ______ your total tax burden.
    9·1 answer
  • If the ratio of students packing a lunch to those buying lunch is 2:9, then the number of students buying lunch is ______ times
    12·1 answer
  • CeeCee recorded the number of necklaces for sale at 10 different locations and then arranged the numbers from smallest to larges
    5·1 answer
  • A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
    14·1 answer
  • What is the square root of 90 exactly?!?!
    13·1 answer
  • Tiffany collects perfume bottles. She has 99 bottles in her collection. Two thirds of her perfume bottles are made of crystal. H
    9·1 answer
  • Please help me branniest
    5·1 answer
  • 12.
    12·1 answer
  • A<br> B<br> C<br> OR<br> D<br> pls pls pls
    8·2 answers
  • Pls help asap! i will mark brainliest!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!