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Which of the following equations are equivalent to

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Carcass
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Which of the following equations are equivalent to [#permalink] New post   25 Apr 2022, 00:00
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Which of the following equations are equivalent to \(x^2+1=2x\)

Indicate all that apply


A. \(x^2+2x+1=0
\)

B. \((x-1)^3=0\)

C. \(x+1=2\)

D. \(0=0
\)

E. \( x^2=1\)


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B,C
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Re: Which of the following equations are equivalent to [#permalink] New post   25 Apr 2022, 11:04
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x^2 +1 = 2x ----> x^2 - 2x + 1 =0 ----> (x-1)^2 =0 ----> x = 1

Only option B and C fulfill x = 1 , hence correct ans
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Re: Which of the following equations are equivalent to [#permalink] New post   04 May 2022, 00:45
I solved for x and got 1 and plugged in the values

I got the answer B, C, and E.

But the answer key mentions only B and C

Why can't E be the answer?
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Re: Which of the following equations are equivalent to [#permalink] New post   04 May 2022, 19:40
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Hey,

When we consider option \(E\), \(x\) can be \(-1\) & \(1\) both so we can't say for sure.

Hence \(E\) can't be the answer.

kk117 wrote:
I solved for x and got 1 and plugged in the values

I got the answer B, C, and E.

But the answer key mentions only B and C

Why can't E be the answer?
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Re: Which of the following equations are equivalent to [#permalink] New post   23 Jun 2022, 02:51
AkkuJi wrote:
x^2 +1 = 2x ----> x^2 - 2x + 1 =0 ----> (x-1)^2 =0 ----> x = 1

Only option B and C fulfill x = 1 , hence correct ans


Hi there!
I dont understand how 'b' is a solution. Need explanation on that pls!
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Which of the following equations are equivalent to [#permalink] New post   23 Jun 2022, 03:11
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\(x^2-2x+1=0\)

This is equal to

\((x-1)^2=0\)

This is equal to

\(x-1=0\)

This is equal to

x=1

all the answer choices that have one solution are equal to the question given in the stem

B is \((x-1)^3=0\). Taking cube root we do have x-1=0 so x=1

C is x+1=2 therefore we do have x=1

B and C are the only answer choices

See more here https://gre.myprepclub.com/forum/gre-math- ... tml#p81624
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