Sign In
Ask Question
Jamar Proctor
Mathematics
8 April, 05:51
7n^2-4n-14=21
complete the square
+1
Answers (
1
)
Knox
8 April, 05:59
0
Answer: (7n - 2) ² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 = >
7n² - 4n = 21 + 14
3) Combine like terms = >
7n² - 4n = 35
4) multiply both terms by 7 = >
(7n) ² - 4 (7n) = 35*7
5) form the squared binomial:
(7n - 2) ² - 4 = 35*7
6) Transpose - 4 = >
(7n - 2) ² = 35*7 + 4
7) Do the operations on the right side:
(7n - 2) ² = 249 or (7n - 2) ² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n) ² - 2 (7n) + 4 - 249 = 0
(7n) ² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“7n^2-4n-14=21 complete the square ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
What is the square root of 30.25
Answers (2)
If the pond has a radius of 6.5 ft how much fencing will he need
Answers (1)
What is 77.04166666666667 rounded to the nearest hundredth
Answers (1)
Factor completely. p^2+7p+10 Enter your answer in the box. Factor completely. x^2-12x+35 Enter your answer in the box. Factor completely. w^2+2w-24 Enter your answer in the box.
Answers (1)
8.9 x 10^-5 in standard notation
Answers (1)
New Questions in Mathematics
What is the force required to move a 2,000 kg car with an acceleration of 2 m/s/s?
Answers (2)
How can you solve 3 (x + 2) = 9 without distributing the 3?
Answers (1)
51+46 b) Use the formula v = u + at to find the velocity, when • the initial velocity is 3 m/s • the acceleration is 1.5 m/s2 • the time is 7 seconds
Answers (1)
10 children in kindergarten class any dog 14 children in the class do not own a dog find the ratio of the number of children that on a dog to the number of children in the class express the ratio in a simplify fraction
Answers (1)
A bunch of 6 bananas cost $3.54. What is the unit rate?
Answers (1)
Home
»
Mathematics
» 7n^2-4n-14=21 complete the square
Sign In
Sign Up
Forgot Password?