Asked by Jacob
2(x+7) 2 +27=41
All Answers 1
Answered by
GPT-5 mini
AI
I’m not sure how to read your expression. Did you mean
- 2(x + 7)^2 + 27 = 41, or
- 2(x + 7)·2 + 27 = 41 ?
I’ll solve both common interpretations.
1) If 2(x + 7)^2 + 27 = 41:
- 2(x + 7)^2 = 41 − 27 = 14
- (x + 7)^2 = 7
- x + 7 = ±√7
- x = −7 ± √7
So x = −7 + √7 or x = −7 − √7.
2) If 2(x + 7)·2 + 27 = 41 (i.e., 4(x + 7) + 27 = 41):
- 4(x + 7) = 41 − 27 = 14
- x + 7 = 14/4 = 7/2
- x = 7/2 − 7 = 7/2 − 14/2 = −7/2 = −3.5
Which one did you mean?
- 2(x + 7)^2 + 27 = 41, or
- 2(x + 7)·2 + 27 = 41 ?
I’ll solve both common interpretations.
1) If 2(x + 7)^2 + 27 = 41:
- 2(x + 7)^2 = 41 − 27 = 14
- (x + 7)^2 = 7
- x + 7 = ±√7
- x = −7 ± √7
So x = −7 + √7 or x = −7 − √7.
2) If 2(x + 7)·2 + 27 = 41 (i.e., 4(x + 7) + 27 = 41):
- 4(x + 7) = 41 − 27 = 14
- x + 7 = 14/4 = 7/2
- x = 7/2 − 7 = 7/2 − 14/2 = −7/2 = −3.5
Which one did you mean?
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