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
Fed [463]
3 years ago
10

I need to do this problem by completing the square . help please

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

the roots are n = 1 + √15 and n = 1 - √15

Step-by-step explanation:

In this case I would immediately rewrite n² - 2n - 5 = 10 as

n² - 2n                  = 10 + 5 = 15.

To complete the square:  Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:

n² - 2n  <em>+ 1 - 1   </em>             = 15

Next, rewrite n² - 2n  + 1 as the square of a binomial:

(n - 1)² = 15

Finally, take the square root of both sides:

n - 1 = ±√15

so that the roots are n = 1 + √15 and n = 1 - √15

You might be interested in
2 * 10^-4 - 1 * 10^-5<br><br> Show your work.
gladu [14]
<span>2 * 10^-4 - 1 * 10^-5
= 10^-4 ( 2 - 1 * 10^-1)
= 10^-4 ( 2 - 0.1)
= 10^-4 (1.9)
= 1.9 * 10^-4

hope it helps</span>
7 0
3 years ago
Please help meee! I will give brainleiest!
Serjik [45]

Answer:

B) 3.0 ml

Step-by-step explanation:

5 0
2 years ago
A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible length
VladimirAG [237]

Answer:

The possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Step-by-step explanation:

We are told the above Triangle is not an Isosceles Triangle

Hence, we assume it is a right angle triangle

The area of a triangle is = 1/2 × Base × Height

= let us represent Base and Height = x

Hence:

1/2 × x × x = 98

x² /2 = 98

Cross Multiply

x² = 98 × 2

x² = 196

Step 2

We find the factors of 196

1× 196 = 196 (1, 196)

2 × 98 = 196 (2, 98)

4 ×49 = 196 (4, 49)

7 × 28 = 196 (7, 28)

Therefore, all the possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

4 0
2 years ago
Can someone help me solve this problems
Anvisha [2.4K]

x = 4 and x = - 9

In both cases the angles inside the parallel lines are same sided interior angles

24x - 1 + 20x + 5 = 180

44x + 4 = 180 (subtract 4 from both sides )

44x = 176 ( divide both sides by 44 )

x = \frac{176}{44} = 4

Similarly

x + 109 + x + 89 = 180

2x + 198 = 180 ( subtract 198 from both sides )

2x = - 18

x = \frac{-18}{2} = - 9


7 0
3 years ago
There is a jar of jellybeans on Principal Cooper's desk. 40% of the jellybeans are red. There are 28 red jellybeans. How many je
AnnyKZ [126]
Take 40% to a decimal and times it by 28 you should get 11.
4 0
2 years ago
Read 2 more answers
Other questions:
  • -8x + 5 ( 1 + x ) = 2x - 20 , solve step by step, and explain each step !!! please !
    12·1 answer
  • 24x^5-8x^4+12x^3-4x^2 / 4x^2
    7·1 answer
  • PLEASE HELP ASAP! Will give BRAINLIEST! Please answer correctly!<br><br> No guessing!
    8·1 answer
  • Select the postulate that is illustrated for the real numbers.
    7·1 answer
  • Are all rays congruent?
    8·2 answers
  • I'm quite confused on how to solve 4 to the -2nd power. Could someone help?
    10·1 answer
  • How do I find lateral height with only surface area and length of the edge?
    6·1 answer
  • What is the correct value of 3x + 2 for x = 5?
    9·2 answers
  • Write an equation and solve. Round to the nearest hundredth where necessary.
    14·1 answer
  • PLEASE HELP MEEE<br> Write a linear function that related y to x
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!