Sign In
Ask Question
Mathematics
Alvin Raymond
7 November, 07:30
How do you solve for x^2-8x+14=0
+3
Answers (
1
)
Jamarcus Gonzalez
7 November, 11:15
0
I'm going to solve by completing the square because there are no factors of 14 that when added together become - 8. To do so, the first step is to subtract 14 from both sides leaving only the first two terms on the left side of the equal sign:
x² - 8x = - 14
Now, we divide the middle term by 2 and square the quotient. Then add the result to both sides.
- 8 / 2 = - 4, ( - 4) ² = 16.
x² - 8x + 16 = - 14 + 16
x² - 8x + 16 = 2
Now we can factor the left side:
(x - 4) ² = 2
Square root both sides to get rid of the exponent on the left side.
√ (x - 4) ² = √2
x - 4 = + / - √2
Add 4 to both sides to isolate the variable:
x = 4 + / - √2
Your exact answers are:
x = 4 - √2 and x = 4 + √2
You can plug both of those into a calculator if you want approximations.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“How do you solve for x^2-8x+14=0 ...”
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
A sequence is separated by which symbol A, B + C.
Answers (1)
What is 3 4ths divided by 2
Answers (2)
Divison problem with one positive and one negative integer
Answers (2)
Oranges cost $1.79 a pound. Miguel bought 3.6 pounds of oranges. How much did the oranges cost, to the nearest cent?
Answers (1)
5 + 3x = - 1 + 6 (6x + 1)
Answers (1)
New Questions in Mathematics
Identify the restrictions on the variable x^2+3x+2/x^2-4x-12
Answers (1)
What is the percent of change from 55lbs to 24lbs
Answers (1)
A radio disc jockey has 8 songs on this upcoming hour's playlist: 4 are rock songs, 2 are reggae songs, and 2 are country songs.
Answers (1)
When eggs in a basket are removed two, three, four, five or six at a time, there remain, respectively, one, two, three, four, or five eggs. When they are taken out seven at a time, none are left over.
Answers (1)
The value of 4c + 5g if c = 2 and g = 1.5
Answers (1)
Home
»
Mathematics
» How do you solve for x^2-8x+14=0
Sign In
Sign Up
Forgot Password?