Sign In
Ask Question
Mathematics
Ayla Nichols
17 November, 08:05
Completing the square X^2+8x+3=0
+3
Answers (
2
)
Tessa
17 November, 10:33
0
Solution by completing the square for:
2+8+3=0
x
2
+
8
x
+
3
=
0
Keep
x
terms on the left and move
the constant to the right side
by subtracting it on both sides
2+8=-3
x
2
+
8
x
=
-
3
Take half of the
x
term and square it
[8⋅12]2=16
[
8
⋅
1
2
]
2
=
16
then add the result to both sides
2+8+16=-3+16
x
2
+
8
x
+
16
=
-
3
+
16
Rewrite the perfect square on the left
(+4) 2=-3+16
(
x
+
4
)
2
=
-
3
+
16
and combine terms on the right
(+4) 2=13
(
x
+
4
)
2
=
13
Take the square root of both sides
+4=±13‾‾‾√
x
+
4
=
±
13
Simplify the Radical term (1):
+4=±13‾‾‾√
x
+
4
=
±
13
Isolate the x on the left side and
solve for x (1)
=-4±13‾‾‾√
x
=
-
4
±
13
therefore (2)
=-4+13‾‾‾√
x
=
-
4
+
13
=-4-13‾‾‾√
x
=
-
4
-
13
which becomes
=-0.394449
x
=
-
0.394449
=-7.60555
Comment
Complaint
Link
Angelica Ochoa
17 November, 11:54
0
(x + 4) ² - 13 = 0
Step-by-step explanation:
Completing the square means to create a quadratic with the numbers that have a variable.
Here, that is x² + 8x: (x² + 8x + y²) = (x + y) ².
Since 8x is the 2xy in this equation, that means 2y is 8, therefore, y is 4.
So, completing the square gives us (x + 4) ² + 3 = 0.
But, because we did this, we have an extra 16 in the equation, so we have to subtract that.
That will look like: (x + 4) ² - 13 = 0.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Completing the square X^2+8x+3=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
Jan's pencil is 8.5 cm long. Ted's pencil is longer. Write a decimal that could represent the length of Tex's pencil?
Answers (1)
Find the ratio of 5 feet to 10 yards (1 yard = 3 feet).
Answers (2)
What did you analyze after watching the vampire diaries?
Answers (2)
A dessert recipe calls for 2 1/2cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
Answers (1)
3. At the mission museum Mrs. Perez visited over break, there is a pond like the one below that has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 10 m.
Answers (1)
New Questions in Mathematics
Renaldo can rollerblade 9.7 miles per hour. Eliza can rollerblade 8.2 miles per hour. How much farther will Renaldo rollerblade in 0.75 hour
Answers (1)
What is the LCD for?11/20 31/45 315 105 66 945
Answers (1)
Given the functions a (x) = 4x2 - x + 2 and b (x) = x + 1, identify the oblique asymptote of the function a of x over the function b of x. y = 4x + 3 y = 4x - 5 y = 0 No oblique asymptote
Answers (1)
Deedee Katz, a computer programmer, earns a regular hourly rate of $32.25 and time-and-a-half when she works overtime. In a typical week, she works 40 regular hours and 12 hours overtime. Find Deedee's weekly overtime pay.
Answers (1)
At the top hat dance studio, classes cost $20 for 5/6 of an hour. What is the hourly rate
Answers (1)
Home
»
Mathematics
» Completing the square X^2+8x+3=0
Sign In
Sign Up
Forgot Password?