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GRE Math Challenge #33- x^2-3x+2=0

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sandy
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GRE Math Challenge #33- x^2-3x+2=0 [#permalink] New post   Updated on: 18 Feb 2020, 10:00
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\(x^2-3x+2=0\)

Quantity A
Quantity B
Twice the sum of the roots of the equation
6




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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C

Originally posted by sandy on 19 Sep 2014, 03:05.
Last edited by Carcass on 18 Feb 2020, 10:00, edited 1 time in total.
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Re: GRE Math Challenge #33 [#permalink] New post   13 Apr 2015, 06:10
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sandy wrote:
-------------------------------------
x² - 3x + 2 = 0

Column A: Twice the sum of the roots of the equation
Column B: 6

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

--------------------------------------
x² - 3x + 2 = 0
Factor to get: (x - 1)(x - 2) = 0
So, x = 1 or x = 2

Column A: Twice the sum of the roots of the equation
Sum of roots = 1 + 2 = 3
So, TWICE the sum = (2)(3) = 6
Column B: 6

Answer:
Show: ::
C


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Re: GRE Math Challenge #33- x^2-3x+2=0 [#permalink] New post   11 Mar 2018, 06:30
sandy wrote:
\(x^2-3x+2=0\)

Column A: Twice the sum of the roots of the equation

Column B: 6

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Let's do the factorization of \(x^2-3x+2=0\) which is (x-1)(x-2).

The roots of equation is 1 and 2 whose sum is 3.

For Qaunt A, Twice the sum of the roots of the equation would be 6.

then A=B

ANS C
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Re: GRE Math Challenge #33- x^2-3x+2=0 [#permalink] New post   11 Feb 2023, 11:58
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Re: GRE Math Challenge #33- x^2-3x+2=0 [#permalink]
11 Feb 2023, 11:58
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