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
Ainat [17]
3 years ago
7

There are two values of a for which the equation 5x2+ax+7x+5=0 has only one solution for x. What is the sum of those values of a

?
Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

-14

Step-by-step explanation:

First of all, we know that 5x^2+ ax+7x +5=0 only has one root. That means that b^2 - 4ac=0, and we can use this to find the discriminant, ax + 7x.

Now, if we simplified 5x^2+ ax+7x +5=0, by dividing it all by 5, it would be x^2+(a+7)/5x + 1 = 0.

After, we can plug what we know into the formula, b^2 - 4ac=0. It would be:

(a+7)^2 / 25 - 4 = 0

(a+7)^2 / 25 = 4

(a+7)^2 = 100

Since this is a square root, a+7 can be both negative or positive.

a+7= 10, or a+7 = -10

a=3, or a=-17

The question asks for the sum of a, which is 3 + (-17) = -14

Therefore, the answer is -14.

:) have fun with your rsm problems, assuming you got this from the portal.

You might be interested in
Solve the equation 5x+2-x=-4x
AVprozaik [17]
5x + 2 -x = -4x

4x +2 = -4x

2 = -4x -4x

2 = -8x

x = - 1/4


hope this helps
8 0
3 years ago
Read 2 more answers
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
ohaa [14]
The answer would be d , because you have to add how many of each fish to equal up to the sum of 420 . which is x y . so the first equation is x + y = 420 . then it says he bought 6 times as many parrotfish as he did angelfish so you would have to multiply x which represents angelfish by 6 . to get the second equation of y = 6x .
5 0
3 years ago
Read 2 more answers
Rewrite each number using scientific
ki77a [65]

Answer:

300- 3e2

106,000 = 1.06e5

0.0000397= 3.97e-5

4,356,000= 4.356e6

0.0157= 1.57e-2

Step-by-step explanation:

3 0
3 years ago
7TH GRADE MATH!!! PLZ HELP WILL MAKE BRAINLIEST AND THANKS!
ivanzaharov [21]

Answer: A, C, D

If you try plugging in a few different numbers into these equations, you will get only 1 result.

:)

3 0
3 years ago
calvin paints pictures and sells them at art shows.he charges $56.25 for a large paiting.he charges $25.80 for a small pating.la
Orlov [11]
Calvin made a total of $414.90
8 0
3 years ago
Other questions:
  • A data set consists of the following pairs of data: (3,5), (5,8), (6,13) Will the correlation coefficient for these data points
    5·1 answer
  • Write in slope-intercept form an equation of the line that passes through the given points.
    6·2 answers
  • 66 times 88 divided by 6
    13·2 answers
  • The student government-collected data on club membership by grade level. Data on club membership are summarized in the table sho
    7·1 answer
  • You have a new pool and want to know it's volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can t
    6·1 answer
  • Cathy fills a 10-cup bucket with pond water. She uses a 2-cup jar to scoop out water from the pond and pours it into her bucket.
    13·1 answer
  • To decrease an amount 37% multiply by
    7·2 answers
  • Hello guys how y’all doing
    5·1 answer
  • Tanner made his aunt a garden. The width is 9 4/5 ft and the length is 5 3/4 ft. What is the area of
    8·1 answer
  • I neee help plss i have so lil time to hand it in
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!