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
Alexeev081 [22]
3 years ago
9

Solve the quadratic equation 4x2 − 121 = 0. Verify your answer using a difference-of-squares factoring method.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

Option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

Step-by-step explanation:

Given quadratic equation is 4x^2-121=0

To write the given quadratic equation by using a difference-of-squares factoring method:

4x^2-121=0

The above equation can be written as

4x^2-11^2=0

(2x)^2-11^2=0

The above equation is in the form of difference-of-squares

Therefore the given quadratic equation can be written in the form of difference-of-squares

by factoring method is (2x)^2-11^2=0

(2x+11)(2x-11)=0 (which is in the form a^2-b^2=(a+b)(a-b) )

2x+11=0   or   2x-11=0

x=\frac{-11}{2}    or   2x=11

x=\frac{-11}{2}    or   x=\frac{11}{2}

x=\pm \frac{11}{2}

Therefore option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

You might be interested in
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Plissss help I beg you please
RideAnS [48]

Answer:

5a. 5m+2

5b. $140

6a. 5m

6b. $26.25

7a. 40m+35

7b. $750

8. 27

9. 8

7 0
3 years ago
Solve this equation: please show all the work<br><br> <img src="https://tex.z-dn.net/?f=x%5E%7B3%7D-y%2B9-%28xy%29" id="TexFormu
puteri [66]
x^{3}  - y + 9 - (xy)
(3)^{3} - (6) + 9 - (3 * 6)
27 - 6 + 9 - 18
12
4 0
3 years ago
What is the equation of a vertical line passing through (−5, −2)? a: x = −5 b: x = −7 c: y = −3 d: y = −2
drek231 [11]

The answer is

A : x=-5

6 0
3 years ago
georges playground is shown in the diagram he wants to buy timber to put all around it so that mulch does not spread how much ti
Xelga [282]
He needs 84 ft.
Step by step explanation:
(24*2)+(18*2)
48+36
84
7 0
3 years ago
Other questions:
  • When dividing with polynomials, the goal is to determine how many times the dividend divides evenly into the?
    5·1 answer
  • What is 3.21 rounded to the nearest tenth ?
    7·1 answer
  • What is the measure of angle F in degrees and please explain step by step ​
    12·1 answer
  • Factor of <br> −21x^2+2x+8
    12·1 answer
  • What is the factored form of x^2 + 3x + 2
    8·2 answers
  • Please help and provide instruction
    6·1 answer
  • Plssss answer
    9·1 answer
  • Helen has only $10 and $2 bills with her.
    13·2 answers
  • Let be an angle in standard position. Name the quadrant in which lies.<br> cos &gt;0, cot &gt;0
    6·1 answer
  • statistics on stepfamilies are difficult to attain, and the statistics we do have are probably underestimates. perfectly accurat
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!