Fill in the steps to complete the square:
x2 +12x − 14 = 0
2
+
12
−
14
=
0
x2 + 12x = 14
2
+
12
=
14
x2 +12x +
2
+
12
+
36 = 14+
=
14
+
36
We factor and simplify to get:
(x+6)2 =
(
+
6
)
2
=
36
At this point, we need to Response area
After that is done, we will have:
Response area =
=
Response area
We get isolate the variable by:
Response area
Final answers are:
x = -6 ± √50
why didnt you put the steps
My apologies for not providing the steps. Here are the complete steps to complete the square for the equation x^2 + 12x - 14 = 0:
1. Move the constant term to the other side of the equation:
x^2 + 12x = 14
2. To complete the square, take half of the coefficient of x (which is 6 in this case) and square it:
(6)^2 = 36
3. Add and subtract this value (36) inside the parenthesis:
x^2 + 12x + 36 - 36 = 14
4. Factor the trinomial and simplify:
(x + 6)^2 - 36 = 14
(x + 6)^2 = 50
5. Take the square root of both sides to solve for x:
x + 6 = ± √50
x = -6 ± √50
Therefore, the solutions to the equation x^2 + 12x - 14 = 0 after completing the square are x = -6 + √50 and x = -6 - √50.
you missed some parts
I apologize for the oversight. Let's fill in the missing steps:
1. Move the constant term to the other side of the equation:
x^2 + 12x = 14
2. Find the value to complete the square by taking half of the coefficient of x, squaring it, and adding it to both sides of the equation:
x^2 + 12x + (12/2)^2 = 14 + (12/2)^2
x^2 + 12x + 36 = 14 + 36
x^2 + 12x + 36 = 50
3. Factor the trinomial and simplify:
(x + 6)^2 = 50
4. Take the square root of both sides to solve for x:
x + 6 = ±√50
x + 6 = ±5√2
x = -6 ± 5√2
Therefore, the solutions to the equation x^2 + 12x - 14 = 0 after completing the square are x = -6 + 5√2 and x = -6 - 5√2.