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
zlopas [31]
3 years ago
12

For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a

nd in increasing order.
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

k {x}^{2}  + 20x + k = 0

The discriminant of this equation is given by;

D =  {b}^{2}  - 4ac

where a=k, b=20, c=k

For rational solutions, the discriminant must be zero.

{20}^{2}  - 4 \times k \times k = 0

Simplify to get:

400 - 4  {k}^{2}  = 0

This implies that:

400  = 4  {k}^{2}

100 =  {k}^{2}

Take square root to get:

k =   \pm\sqrt{100}

k =  \pm10

k =  - 10 \: or \: k = 10

You might be interested in
A highschool football team had a win to loss ratio of 4:1. If they played 15 games in that season, how many games did they win?
Colt1911 [192]
13 because when you have 15 games and you win 13, you have 2 that you lost
8 0
3 years ago
Solve the equation.<br> 6.35 + b = 9.89
nika2105 [10]

Answer:

b=3.54

Step-by-step explanation:

9.89-6.35=3.54

6 0
3 years ago
Read 2 more answers
Find the product? (n - 4)(3n+7)
vampirchik [111]

Answer:

3n^2 - 5n - 28

Step-by-step explanation:

(n - 4)(3n + 7)

3n^2 + 7n - 12n - 28

3n^2 - 5n - 28

hope this hepls!!!

6 0
3 years ago
Read 2 more answers
8 miles is approximately equal to 6 km how many km are equal to 28 miles ? How many miles are equal to 42km
Snowcat [4.5K]

28/8 = 3.5

3.5*6 = 21 km


42/6=7

7*8 = 56 miles

7 0
3 years ago
Heidi and Andrew designed two raised flowerbeds for their garden. Heidi’s flower bed was 5 feet long by 3 feet wide, and Andrew’
Alona [7]

Answer:

90 ft³

Step-by-step explanation:

Volume is calculated as length × width × height.

Heidi: 5×3×2 = 30 ft³

Andres: 5×6×2 = 60 ft³

Total: 30 + 60 = 90 ft³

3 0
3 years ago
Other questions:
  • What is the mode of the following daya set. { 4, 5, 2, 4, 9, 7, 5, 5, 2, 8 }
    12·2 answers
  • What is the absolute value off -37
    12·2 answers
  • The graph shows the relationship between mass of hamster food and the number of days it takes Gabin's
    12·2 answers
  • Google says the answer is -6 but i have no idea how it got that<br> (-17) -4 +19 + (-4)
    12·1 answer
  • This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identic
    13·2 answers
  • For a binomial distribution, the mean is 0.6 and n = 2. what is π for this distribution?
    8·1 answer
  • 1) 6.61; tenths <br> You have to round it to the 10ths place
    10·1 answer
  • 30+12=?(5+2)<br> what factor is missing from the equation?
    11·2 answers
  • Kim has a rope that is meter long, she wants to cut it into 5 places, Each piece must be the same size.
    12·1 answer
  • The box-and-whisker plots show the distribution of quiz scores for two students for a semester. Compare Raul and Homer’s quiz sc
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!