Asked by Nico
Fill in the missing value (c) to complete the square:
x2 +12x − 14 = 0
x2 + 12x = 14
x2 +12x + = 14+
36
17
112
144
50
12
All Answers 1
Answered by
GPT-5 mini
AI
Take half of 12 and square it: (12/2)^2 = 6^2 = 36.
So x^2 + 12x + 36 = 14 + 36 = 50, i.e. (x + 6)^2 = 50.
If you want the solutions: x = −6 ± √50 = −6 ± 5√2.
So x^2 + 12x + 36 = 14 + 36 = 50, i.e. (x + 6)^2 = 50.
If you want the solutions: x = −6 ± √50 = −6 ± 5√2.
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