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Re: If y = x2 – 32x + 256, then what is the least possible value [#permalink]
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.
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Re: If y = x2 – 32x + 256, then what is the least possible value [#permalink]
hi,

I am taking with my solution on this question, because other posts have provided different solutions within quant concept skill set of GRE

Withous calculus use and derivative of \(y = x^2 - 32x + 256\) set equal to zero, it's practical to factorize the equation firstly

\(y = x^2 - 32x + 256 = (x-16)^2\), when \(y=0\), x-intercept will be 16 and this is the only intercept here

hence, x-intercept accomodates also the minimum value of \(y\) and it's 0


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
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