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If x is positive and y is 1 less than the square of x, which of the fo

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Bunuel
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If x is positive and y is 1 less than the square of x, which of the fo [#permalink] New post   16 Jun 2018, 07:39
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If x is positive and y is 1 less than the square of x, which of the following expresses x in terms of y ?


(A) \(x = y^2 - 1\)

(B) \(x = y^2 + 1\)

(C) \(x = \sqrt{y} + 1\)

(D) \(x = \sqrt{1-y}\)

(E) \(x= \sqrt{y+1}\)
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pr3mk5
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Re: If x is positive and y is 1 less than the square of x, which of the fo [#permalink] New post   16 Jun 2018, 08:26
Let X be X..

Y = X^2 - 1

Then X = \sqrt{Y+1}

OA -E
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wardalaknaoui1
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Re: If x is positive and y is 1 less than the square of x, which of the fo [#permalink] New post   22 Jun 2018, 15:18
pr3mk5 wrote:
Let X be X..

Y = X^2 - 1

Then X = \sqrt{Y+1}

OA -E

Could you please explain how did you find that?
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If x is positive and y is 1 less than the square of x, which of the fo [#permalink] New post   24 Jun 2018, 13:04
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wardalaknaoui1 wrote:
pr3mk5 wrote:
Let X be X..

Y = X^2 - 1

Then X = \sqrt{Y+1}

OA -E

Could you please explain how did you find that?


Given:

X is positive

Y = X^2 - 1

To Find:

X in terms of Y.

SOl:

we know that

y = X^2 - 1

taking 1 to the other side we get,

x^2 = y + 1

Now we take square root on both sides to get the value of X.

X = Sqrt(y+1)

we take only the positive value and not + or - sqrt(y+1) because it is given that X is positive.

So solution E.
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gmatclubot
If x is positive and y is 1 less than the square of x, which of the fo [#permalink]
24 Jun 2018, 13:04
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