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If x is positive and y is 1 more than the square of x, then

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GMAT Club Legend
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Joined: 07 Jun 2014
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If x is positive and y is 1 more than the square of x, then [#permalink] New post 15 Apr 2018, 03:39
Expert's post
00:00

Question Stats:

100% (00:26) correct 0% (00:00) wrong based on 3 sessions
If x is positive and y is 1 more than the square of x, then what is the value of x in terms of y?

A. \(y^2 - 1\)
B. \(y^2 + 1\)
C. \(\sqrt{y}-1\)
D. \(\sqrt{y-1}\)
E. \(\sqrt{y+1}\)

Drill 2
Question: 2
Page: 510
[Reveal] Spoiler: OA

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

CAT Tests
Re: If x is positive and y is 1 more than the square of x, then [#permalink] New post 18 Apr 2018, 15:42
Expert's post
Explanation

Plug in x = 4, so y = 17.

Now plug in 17 into the answers to see which gives you 4. Only choice (D) does.
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Re: If x is positive and y is 1 more than the square of x, then [#permalink] New post 18 Apr 2018, 19:40
Question states:
x is positive

It also states that "y is 1 more than the square of x"
How do you translate this statement?

We can write this as:
y = x^2 + 1

Now, we need x in terms of y?
So, what do you do?

Simple!

Rewrite equation (1) as:
x^2 = y-1
Taking square roots on both sides we get the answer as:
x = √(y-1)
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Re: If x is positive and y is 1 more than the square of x, then   [#permalink] 18 Apr 2018, 19:40
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If x is positive and y is 1 more than the square of x, then

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