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If y = x2 – 32x + 256, then what is the least possible value

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If y = x2 – 32x + 256, then what is the least possible value [#permalink] New post 15 Apr 2018, 03:51
Expert's post
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Question Stats:

28% (00:26) correct 71% (01:13) wrong based on 7 sessions
If \(y = x^2 - 32x + 256\), then what is the least possible value of y ?

A. 256
B. 32
C. 16
D. 8
E. 0

Drill 2
Question: 12
Page: 512
[Reveal] Spoiler: OA

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Re: If y = x2 – 32x + 256, then what is the least possible value [#permalink] New post 18 Apr 2018, 02:24
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Among the answer choices \(0\) is the smallest option.
if \(Y = 0\) we have a quadratic eqn which when factorized gives
\((x-16)^2 = 0\)
Therefore when \(x = 16; y= 0\)
option E
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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1625 [0], given: 389

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Re: If y = x2 – 32x + 256, then what is the least possible value [#permalink] New post 22 Apr 2018, 12:27
Expert's post
Explanation

First, factor the quadratic equation: \(x2 - 32x + 256 = (x - 16)^2\).


Any quantity squared is either positive or zero. To minimize the expression (x – 16)2 and the value of y, let x = 16, so that y = 0. The answer is choice (E).
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Re: If y = x2 – 32x + 256, then what is the least possible value [#permalink] New post 17 Jul 2018, 12:41
sandy wrote:
If \(y = x^2 - 32x + 256\), then what is the least possible value of y ?

A. 256
B. 32
C. 16
D. 8
E. 0

Drill 2
Question: 12
Page: 512



Given

\(y = x^2 - 32x + 256\)

Carefully analyzing the equation it's clear that the value of x^2 will finally be added to 256. In order to have less least value for y , x has to be minimum.

Option E fits.
Re: If y = x2 – 32x + 256, then what is the least possible value   [#permalink] 17 Jul 2018, 12:41
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If y = x2 – 32x + 256, then what is the least possible value

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