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
cestrela7 [59]
3 years ago
14

The quadratic equation x^2 + 3x + 50 = 0 has roots r and s. Find a quadratic equation whose roots are r^2 and s^2.

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

x^2 + 91x + 2500

-----------------------------------------------------------------------------

x^2 + 3x + 50

(x-r)(x-s)

-> x^2-(r+s)x+rs

rs = 50, r + s = -3

-> (rs)^2 = 2500

(r+s)^2 = 9

-> r^2 + 2rs + s^2 = 9

-> r^2 + 2(50) + s^2 = 9

-> r^2 + s^2 + 100 = 9

-> r^2 + s^2 = -91

(x-r^2)(x-s^2)

-> x^2-(r^2+s^2)x+(rs)^2

-> x^2 - (-91)x + 2500

x^2 + 91x + 2500

You might be interested in
Find all zeros x^3+2x^2+4x+21
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


5 0
3 years ago
PLZZ HELPP WILL GIVE BRAINLIEST Graph the line y=25x+3. Use the line tool and select two points on the line. THIS IS A K12 TEST
Sophie [7]

Step-by-step explanation:

you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.

so to find x and y intercept

y=25x+3. to find x intercept designate y as zero

0=25x+3

-3=25x

x= -3/25. p( -3/25,0)

y=25x+3 to find y intercept designate x as zero

y=25(0)+3

y=3. p(0,3)

the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.

6 0
3 years ago
Consider the baggage check-in process of a small airline. Check-in data indicates that from 9am to 10am, 220 passengers checked
Lady bird [3.3K]

Answer:

3.6 minutes.

Step-by-step explanation:

According to the data given in the question, between 9 and 10 AM, 220 passengers have checked in which means that the check-in rate is 3.6 passengers per minute. If the average number of passengers waiting for check-in is 32 and if we assume that the check-in rate is constant throughout the day, then the average passenger had to wait in line for 3.6 minutes.

4 0
4 years ago
There 10 people inside the house then the house caught on fire but only 2/3 escaped how much is still in the building?
slega [8]

Answer:

6.67 is the awnser or 6.6666666666

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one
barxatty [35]

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

8 0
3 years ago
Other questions:
  • Item 8 An account earns simple interest. $700 at 8% for 6 years a. Find the interest earned. $ b. Find the balance of the accoun
    14·1 answer
  • Can you help with my math​
    14·1 answer
  • one eighth of tonys books are mystery books he has 3 mystery books how many books dose tony have in all?
    5·1 answer
  • Robin is building a new pool to help him relax after a long night of crime fighting. The picture above shows the dimensions of t
    12·2 answers
  • A building 50 ft casts a 75 ft shadow. Sarah casts a 6ft shadow. The triangle formed by the building and its shadow is similar t
    10·1 answer
  • Plz help on 12<br> Will give brainliest
    7·1 answer
  • the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 19 ft long, what s it’s volume?
    11·1 answer
  • 5.401 \times 10^{-1} = {?}5.401×10 −1 =?
    8·1 answer
  • What is the best estimate of the sum of $33.46, $12.97, and $207.51?
    11·2 answers
  • What is a bond and how do you make money from it?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!