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505-555 Level|   Algebra|      
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vikasp99
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If (2x + 1)^2 = 100, then which one of the following COULD equal x ? Updated on: 14 Jul 2022, 06:32
Originally posted by vikasp99 on 04 Mar 2017, 00:47.
Last edited by Bunuel on 14 Jul 2022, 06:32, edited 2 times in total.
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75% (01:05) correct 25% (01:25) wrong based on 190 sessions

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If (2x + 1)^2 = 100, then which one of the following COULD equal x ?

(A) –11/2

(B) –9/2

(C) 11/2

(D) 13/2

(E) 17/2
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A
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If (2x + 1)^2 = 100, then which one of the following COULD equal x ? 04 Mar 2017, 05:23
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(2x + 1)^2 = 100
=>2x + 1 = +/- (10)
=>2x = 9. Or. => 2x = -11
Therefore, x = 9/2 or x = -11/2

Answer A.
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If (2x + 1)^2 = 100, then which one of the following COULD equal x ? 04 Mar 2017, 07:45
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(2x+1)^2=100

Either 2x+1=10 => 2x=9 => x=9/2
Or 2x+1=-10 => 2x=-11 => x=-11/2

Answer A
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If (2x + 1)^2 = 100, then which one of the following COULD equal x ? 04 Mar 2017, 08:06
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vikasp99
If (2x + 1)^2 = 100, then which one of the following COULD equal x ?

(A) –11/2

(B) –9/2

(C) 11/2

(D) 13/2

(E) 17/2

There are 2 possible values of 2x + 1

\(2x + 1 = 10\) , so \(x = \frac{9}{2}\)
\(2x + 1 = -10\) so \(x = \frac{-11}{2}\)

Thus, answer will be (A) \(\frac{-11}{2}\)
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If (2x + 1)^2 = 100, then which one of the following COULD equal x ? 06 Mar 2017, 12:44
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Hi vikasp99,

This question asks which of the 5 answers COULD be the solution to the given equation. When a question 'hints' that there's more than one possible solution, it's likely that the "obvious" answer will not be the one that's included in the answers.

There are two numbers - that when squared - equal 100: +10 and -10.

Thus, if we were asked for BOTH solutions, then we would have to set up 2 equations:

2X + 1 = +10
2X + 1 = -10

However, it's likely that the second option will be the one that we'll need (since it's the less-obvious solution)...

2X + 1 = -10
2X = -11
X = -11/2

Final Answer:
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A

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If (2x + 1)^2 = 100, then which one of the following COULD equal x ? 02 Feb 2025, 08:30
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