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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42 GPA: 3.82
If y is 1 more than the square of a positive number x, what is the val  [#permalink]

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Question Stats: 88% (00:46) correct 12% (01:43) wrong based on 58 sessions

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If y is 1 more than the square of a positive number x, what is the value of x, in terms of y?

$$A. x=\sqrt{y-1}$$
$$B. x=\sqrt{y+1}$$
$$C. x=2\sqrt{y-1}$$
$$D. x=2\sqrt{y+1}$$
$$E. x=y-1$$

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Senior PS Moderator V
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If y is 1 more than the square of a positive number x, what is the val  [#permalink]

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From the question stem, $$y = x^2 + 1$$

Therefore, $$x^2 = y - 1$$ or $$x=\sqrt{y-1}$$(Option A)

Method 2(Assuming numbers)

From the question stem, $$y = x^2 + 1$$
If x = 5, y = $$x^2 + 1 = 25+1 = 26$$

Only Option A($$\sqrt{y-1} = \sqrt{26-1} = \sqrt{25} = 5$$) gives us the same value of x when we substitute the value of y.
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Target Test Prep Representative D
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Re: If y is 1 more than the square of a positive number x, what is the val  [#permalink]

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MathRevolution wrote:
If y is 1 more than the square of a positive number x, what is the value of x, in terms of y?

$$A. x=\sqrt{y-1}$$
$$B. x=\sqrt{y+1}$$
$$C. x=2\sqrt{y-1}$$
$$D. x=2\sqrt{y+1}$$
$$E. x=y-1$$

We can create the following equation:

y = 1 + x^2

y - 1 = x^2

√(y - 1) = x

Answer: A
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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7372
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: If y is 1 more than the square of a positive number x, what is the val  [#permalink]

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==> From $$y=1+x^2$$ and $$x^2=y-1, x=\sqrt{y-1}$$, the answer is A.

Answer: A
_________________ Re: If y is 1 more than the square of a positive number x, what is the val   [#permalink] 27 Jul 2017, 17:57
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# If y is 1 more than the square of a positive number x, what is the val

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