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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

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Schach [20]

Answer:

6(2x + 3y)

Step-by-step explanation:

6 × 2x + 6 × 3y

6(2x + 3y)

8 0
2 years ago
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there were a total of twenty-one baseball games during the three month season, and four were played at night. If the game are eq
kicyunya [14]

If there were a total of 21 games played over 3 months, you divide 21 by 3.

Your answer is 7 games were played each month.

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6 0
3 years ago
Can you plz help me with this, because I don’t know how to do this and can u plz explain how to do it
Alecsey [184]

Answer:

Step-by-step explanation:

You can start this in may ways but let's start by isolating one of the parenthesis:

x (x² - 5) = - (x - 3)

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x³ -4x = 3

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ytb/watch?v=rNDy2ZFvG1E

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4 0
2 years ago
One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w
gtnhenbr [62]

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

  1 job

------------------------------- = time required for 2 pumps working together

1 job         1 job

---------- + -------------

4 days      10 days

This comes out to:

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------------------------------------------- = time required

10 job-days      4 job-days

------------------ + -----------------

   40 days           40 days

or:

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14 job·days

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

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3 years ago
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Answer:160​% of 11.1 is 17.76

Step-by-step explanation:

8 0
3 years ago
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