Fill in the steps to complete the square:

x^2 +12x − 14 = 0

x^2 +`12x = 14

x^2 + 12x + ? = 14 + ?

We factor and simplify to get: (x+6)^2 = ?

At this point, we need to ?

After that is done, we will have: ? = ?

We get isolate the variable by: ?

Final answers are: ?

1 answer

x^2 +12x − 14 = 0

x^2 +12x = 14

x^2 + 12x + 36 = 14 + 36

(x + 6)^2 = 50

At this point, we need to take the square root of both sides.

x + 6 = ±√50

After that is done, we will have: x + 6 = ±5√2

We isolate the variable by subtracting 6 from both sides.

x = -6 ± 5√2

Final answers are: x = -6 + 5√2 , x = -6 - 5√2
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