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If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal 0, then what

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 54366
If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal 0, then what  [#permalink]

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New post 07 Apr 2019, 21:22
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:16) correct 22% (01:55) wrong based on 23 sessions

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CEO
CEO
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P
Joined: 18 Aug 2017
Posts: 3008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal 0, then what  [#permalink]

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New post 08 Apr 2019, 01:06
Bunuel wrote:
If both expressions \(x^2 – 3x + 2\) and \(x^2 – 4x + 3\) equal 0, then what is the value of \((x – 3)^2\) ?


(A) 0
(B) 1
(C) 2
(D) 3
(E) 4


\(x^2 – 3x + 2\) and \(x^2 – 4x + 3\) equal 0
(x-2)(x-1) and (x-3)(x-1)
x-1 is common so x= 1
\((x – 3)^2\)
= > 4
IMO E
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Joined: 12 Sep 2017
Posts: 218
If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal 0, then what  [#permalink]

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New post 09 Apr 2019, 18:29
Just equal both equations:

\(x^2 – 3x + 2 = x^2 – 4x + 3 = 0\)

\(– 3x + 4x = 3 - 2\)

\(x = 1\)

\((x - 3)^2\)

\((1 - 3)^2\)

\((-2)^2\)

\(4\)

E
GMAT Club Bot
If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal 0, then what   [#permalink] 09 Apr 2019, 18:29
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If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal 0, then what

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