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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
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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07 Apr 2019, 21:22
00:00

Difficulty:

25% (medium)

Question Stats:

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

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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

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Joined: 18 Aug 2017
Posts: 3008
Location: India
Concentration: Sustainability, Marketing
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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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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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Manager
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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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
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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