Sign In
Ask Question
Mathematics
Emilia Gibson
22 July, 00:17
Solve for x: x^2 + 14x + 49
+2
Answers (
1
)
Ellen Singleton
22 July, 00:52
0
Answer: - 7twice
Step-by-step explanation:
This is a question on root of quadratic equation. The interpretation of the question
x² 14x + 49 is
x² + 14x + 49 = 0. meaning that we are to find two possible values for x that will make the expression equal 0.
We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods
x² + 14x + 49 = 0
Now, find the product of the first and the last terms, is
x² * 49 = 49*²
Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.
We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors.
49x² = 7x * 7x and the sum gives 14x the middle terms ...
Now we now replace the middle one by the factors and then factorize by grouping.
x² + 14x + 49 = 0
x² + 7x + 7x + 49 = 0
x (x + 7) + 7 (x + 7) = 0
(x + 7) (x + 7). = 0
Now to find this value of x,
x + 7 = 0
x. = - 7twice.
The root of the equation = - 7twice.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Solve for x: x^2 + 14x + 49 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
8.45 as a mixed number
Answers (1)
you put in 8 hours of work. the next day you put in 12 hours of work. How many hours of work did you put in.
Answers (1)
Tonya has 39 packages. Each package weighs 58 pounds. Choose the best estimate of the total weight of the packages
Answers (1)
The graph of the equation y = - 2x+5 will intersect the y-axis when y equals what value
Answers (2)
6x less then or = to 4y+60
Answers (1)
New Questions in Mathematics
The algebraic expression of 4 (y + 6)
No Answers
Can solve this ... (-2e3) 4?
Answers (1)
Find the area of a parallelogram with base b and height h. B=74 cm h = 14.8 cm A. 88.8 cm 2 B. 177.6 cm 2 C. 1,095.2 cm 2 D. 2,242.6 cm 2
Answers (1)
The percentage of pepperoni in a pizza is 35.67%. What is 35.67% rounded to the nearest whole percent?
Answers (1)
A circular rug has a diameter of 6 feet. What is the circumference of the rug? Use 3.14 for π. A) 9.42 ft B) 18.84 ft C) 28.26 ft D) 37.68 ft
Answers (1)
Home
»
Mathematics
» Solve for x: x^2 + 14x + 49
Sign In
Sign Up
Forgot Password?