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If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal,
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07 Apr 2019, 06:19
07 Apr 2019, 06:19
Expert Reply
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Question Stats:
81% (01:02) correct
18% (01:28) wrong based on 16 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
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Re: If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal,
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11 Apr 2020, 20:24
11 Apr 2020, 20:24
1
Carcass 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
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Since, both expressions equals to zero then we can rewrite as
\(x^2 – 3x + 2\) = \(x^2 – 4x + 3\)
or x = 1
Now, using the value of x in the equation,
\((x – 3)^2\) = \((1 – 3)^2\) = \((2)^2\) =4
gmatclubot
Re: If both expressions x^2 – 3x + 2 and x^2 – 4x + 3 equal, [#permalink]
11 Apr 2020, 20:24
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