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# What is value of x?

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Senior Manager
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What is value of x? [#permalink]

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29 Jun 2012, 09:00
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25% (medium)

Question Stats:

66% (01:54) correct 34% (00:54) wrong based on 180 sessions

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What is value of x?

(1) 4x^2-4x+1=0

(2) 4x^2-1=0
[Reveal] Spoiler: OA

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Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

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Re: What is value of x? [#permalink]

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29 Jun 2012, 09:04
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What is value of x?

(1) 4x^2-4x+1=0 --> $$(2x-1)^2=0$$ --> $$2x-1=0$$ --> $$x=\frac{1}{2}$$. Sufficient.

(2) 4x^2-1=0 --> $$x^2=\frac{1}{4}$$ --> $$x=-\frac{1}{2}$$ or $$x=\frac{1}{2}$$. Not sufficient.

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Re: What is value of x? [#permalink]

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29 Jun 2012, 09:15
Thanks alot bunuel .....

4x^2-4x+1=0 to (2x-1)^2 ...?? how did u simplify it?
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Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

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Re: What is value of x? [#permalink]

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29 Jun 2012, 11:00
sanjoo wrote:
Thanks alot bunuel .....

4x^2-4x+1=0 to (2x-1)^2 ...?? how did u simplify it?

$$(a-b)^2=a^2-2ab+b^2$$;
$$(2x-1)^2=(2x)^2-2*2x+1^2=4x^2-4x+1$$.

Hope it's clear.
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Re: What is value of x? [#permalink]

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30 Jun 2012, 08:58
Hai Bunnel

can you tell me how to find that statement 1 is in (a-b)^2 farm. Is there any method behind this. Plz explain
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Re: What is value of x? [#permalink]

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06 Apr 2017, 01:41
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Re: What is value of x?   [#permalink] 06 Apr 2017, 01:41
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