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
vichka [17]
3 years ago
11

Please help with this ...Its very urgent..

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0
Sorry if it's a little bit ugly

Ad libitum [116K]3 years ago
6 0

Answer: q²x² - p³x + 3pqx + q = 0

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

Since a and B are the roots of x² - px + q = 0, then x = a and x = B

⇒ (x - a)(x - B) = 0

⇒ x² - ax - Bx + aB = 0

⇒ x² - (a + B)x + aB = 0

Comparing this to the given equation of x² - px + q = 0, we discover that

  • p = a + B
  • q = aB

Next, given the roots for the new equation as x = \dfrac{a}{B^2} \quad\text{and}\quad\ x=\dfrac{B}{a^2}

⇒ \bigg(x - \dfrac{a}{B^2}\bigg)\bigg(x-\dfrac{B}{a^2}\bigg)=0

⇒ (B²x - a)(a²x - B) = 0

⇒ a²B²x² - a³x - B³x + aB = 0

⇒ a²B²x² - (a³ + B³)x + aB = 0

Let's look at each term individually:

1st term: a²B²x² = (aB)²x²   = q²x²  <em>(since q = aB)</em>

2nd term: (a³ + B³)x  <em>cubic formula can be used</em>

<em>       </em>        = [(a + B)(a² - aB + B²)]x

              = [(a + B)(a² + (2aB - 3aB) + B²)]x

              = [(a + B)(<u>a² + 2aB + B²</u> - 3aB)]x

              = [(a + B)(a + B)² - 3aB)]x

              = [(   p   )(  p²     -  3 q      )]x      <em>since p = a + B and q = aB</em>

<em>               </em>= (p³ - 3pq)x       <em>distributed "p" into p² - 3q</em>

              = p³x - 3pqx       <em>distributed "x" into p³ - 3pq</em>

3rd term: aB = q   <em>     since q = aB   </em>

Put it all together:

   q²x² - (p³x - 3pqx) + q = 0

⇒ q²x² - p³x + 3pqx + q = 0

You might be interested in
steve measured the length of his room and found it to be 9 feet and 6 inches. The width of his room was 11 feet exacly. What is
Art [367]
Length: 114 in.
Width: 132 in.

For length, you have 9 feet and 6 inches. Meaning that if you would want to get the length of his room in inches, you would have to multiply 9 with 12 and add 6.

It's the same thing for the width.

If you need more help comment below!
4 0
3 years ago
How do you solve 5 is _____ % of 25
Aneli [31]
Let the missing % be x.

Now, according to your question ;

5 = x% of  25

5 = x / 100 * 25

thus, 25x = 500

Thus, x = 500/25

= 20

Thus, 5 is 20% of 25.
5 0
3 years ago
Read 2 more answers
You are seeking to be emancipated from your parents. You are
FromTheMoon [43]

It will take 20 months for the cost to be same.

Step-by-step explanation:

Apartment A;

Security deposit = $1000

Each month cost = $1200

Let,

x be the number of months.

A(x) = 1000 + 1200x

Apartment B;

Security deposit = $1500

Each month cost = $1175

B(x) = 1500 + 1175x

The cost will be same when the functions are equal, therefore,

A(x) = B(x)

1000+1200x=1500+1175x\\1200x-1175x=1500-1000\\25x=500

Dividing both sides by 25

\frac{25x}{25}=\frac{500}{25}\\x=20

It will take 20 months for the cost to be same.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/5461619
  • brainly.com/question/5510873

#LearnwithBrainly

5 0
3 years ago
-7 W to the sixth power. 3w to the second power
Reptile [31]
117649w^6
9w^2
Hxjwjd
8 0
3 years ago
Lloyd and Linda Pearl want to remodel the dining room in their house. The estimated cost for the job is $6,890. They pay 30 perc
mylen [45]
A. 2067.
6890 time .30 (30 percent) is 2067
B. 4823
inital ammount minus down payment
6890 - 2067 = 4823
C 134.08
Total ammount multiplied by percentage (0.0278)
4823 * .0278 = 134.079  per month
D.1612.81
find total paid and subtract initial ammount to find finance charge
(134.08*48)= 6435.81
6435.81-4824 = 1612.81
3 0
3 years ago
Other questions:
  • A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1&amp;1/2 tablets Evry day. How many grams of vitamin C do u t
    15·1 answer
  • Marcus receives an inheritance of 6,000 he decides to invest the money in a 14-year certificate of deposit that pays 6.5% intere
    11·1 answer
  • Find the volume of the composite solid. ft3 pls help!! ::)))):):):):):):)
    12·2 answers
  • What is the maximum or minimum of the quadratic function y = 16x^2 +40x +25
    14·1 answer
  • HELPPPP i’ll give brainliest if it’s right!!!
    15·2 answers
  • Could someone help me? Thanks &lt;3
    12·2 answers
  • Find the measure of angle w.'<br> 5 points<br> wo<br> 124°<br> О124<br> О 34<br> оооо<br> 56
    14·1 answer
  • For each graph below, state whether it represents a function.
    8·1 answer
  • Written as a simplified polynomial in standard form, what is the result when
    8·2 answers
  • A train travels 18 kilometers in 12 minutes. At this rate, how far does the train travel in 1 minute?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!