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# What is the value of x^2 ? (1) x = (2x - 1)^(1/2) (2) x^2 = x^3

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Math Expert
Joined: 02 Sep 2009
Posts: 51100
What is the value of x^2 ? (1) x = (2x - 1)^(1/2) (2) x^2 = x^3  [#permalink]

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01 Jul 2018, 20:06
00:00

Difficulty:

25% (medium)

Question Stats:

64% (00:55) correct 36% (01:37) wrong based on 43 sessions

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What is the value of $$x^2$$ ?

(1) $$x =\sqrt{2x - 1}$$

(2) $$x^2 = x^3$$

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7099
Re: What is the value of x^2 ? (1) x = (2x - 1)^(1/2) (2) x^2 = x^3  [#permalink]

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01 Jul 2018, 22:04
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1
Bunuel wrote:
What is the value of $$x^2$$ ?

(1) $$x =\sqrt{2x - 1}$$

(2) $$x^2 = x^3$$

(1) $$x =\sqrt{2x - 1}$$

square both sides
$$x^2=2x-1..........x^2-2x+1=0.........(x-1)^2=0$$
x=1 so $$x^2=1$$
sufficient

(2) $$x^2 = x^3$$...
$$x^2=x^3.........x^3-x^2=0......x^2(x-1)=0$$
x can be 0 or 1
insuff

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: What is the value of x^2 ? (1) x = (2x - 1)^(1/2) (2) x^2 = x^3 &nbs [#permalink] 01 Jul 2018, 22:04
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