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
Andreyy89
3 years ago
11

Factor by completing the square 5x^2-21=10x

Mathematics
1 answer:
velikii [3]3 years ago
4 0
Solve for x over the real numbers:
5 x^2 - 21 = 10 x

Subtract 10 x from both sides:
5 x^2 - 10 x - 21 = 0

Divide both sides by 5:
x^2 - 2 x - 21/5 = 0

Add 21/5 to both sides:
x^2 - 2 x = 21/5

Add 1 to both sides:
x^2 - 2 x + 1 = 26/5

Write the left hand side as a square:
(x - 1)^2 = 26/5

Take the square root of both sides:
x - 1 = sqrt(26/5) or x - 1 = -sqrt(26/5)

Add 1 to both sides:
x = 1 + sqrt(26/5) or x - 1 = -sqrt(26/5)

Add 1 to both sides:
Answer:  x = 1 + sqrt(26/5) or x = 1 - sqrt(26/5)
You might be interested in
What is the slope of the coordinates (-3,1) and (3,-1)
sergiy2304 [10]

Answer:

-1/3

Step-by-step explanation:

y-y/x-x

=

(1- - 1)/(-3-3)= 2/-6 = -1/3

5 0
3 years ago
On a recent trip to the convenience store, you picked up 3 gallons of milk, 5 bottles of water, and 6 snack-size bags of chips.
svlad2 [7]

Answer:

the cost of each bag at chips  is $0.75

the cost of bottle is $1.50

The cost of gallon of milk is $3.50

Step-by-step explanation:

Let us assume the cost of each bag at chips be x

For the cost of bottle it would be 2x

And for cost of gallon of milk be 2x + 2

The total cost is $22.50

Now the equation would be

3(2x +2)  + 5(2x)  + 6x = $22.50

6x + 6 + 10x + 6x = $22.50

22x = $16.50

x = $0.75

So cost of each bag at chips would be $0.75

For the cost of bottle be

= $0.75 × 2

= $1.50

And, for the cost of gallon of milk be

= 1.50  + 2

= $3.50

8 0
3 years ago
After 4 months of living in her dorm room, Molly had 5 fish. Eight months later, Molly still had 5 fish. Which of the graphs bel
topjm [15]
We can assume the x value is time, and the y-value is fish population.

The best answer is the third option, a line going through 0,5 and 7,5. We don't know if Molly arrived at the dorm with fish, but we know that during the 8 months, her fish population stayed the same at 5 fish. 

The first option features a y value of 8, so we know that's wrong. She never had more than 5 fish.
The second option is wrong for the same reason (y values of 6 and 9)
The fourth option in wrong because the fish population did not fall to 2 after 7 months. 
6 0
4 years ago
(X-5)(x+6) greater than or equal to 0
djyliett [7]
x \geq 5  ,or, x \leq -6
8 0
3 years ago
Frist one to do it gets brainist ​
hammer [34]

Answer:

mint chip n strawberry

Step-by-step explanation:

it's right trust me bff !

5 0
3 years ago
Other questions:
  • Write 86 thousand two hundred eleven using base 10 numerals
    5·2 answers
  • a coin is tossed and a number cube with the numbers 1 through 6 on itis tossed. what is the probability of getting t and a numbe
    14·2 answers
  • Montel can't keep up with the demand for the latest best-selling book. He had to order more copies twice this week. On Monday he
    15·2 answers
  • The Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers lo
    12·1 answer
  • Write two ways to group and add 2+3+4
    11·2 answers
  • What is the slope-intercept form of a line that contains the point (0,3) and a slope=-2
    11·1 answer
  • Solve for x each figure is a parallelogram ​
    12·1 answer
  • What is the approximate Square Root of 81.183?<br> A.9.5<br> B.9<br> C.8.1<br> D.8
    7·1 answer
  • 9. What statements are NOT true about the<br> solution of the system?
    6·1 answer
  • im a senior trying to graduate my school has me in the wrong classes i have adhd and i was supposed to be in diffrent classes bu
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!