Nee help on fundamentals of Algebra : GMAT Quantitative Section
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# Nee help on fundamentals of Algebra

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VP
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Nee help on fundamentals of Algebra [#permalink]

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26 Dec 2012, 11:56
I m stuck with few concepts
1. a^2 = b^2
>>>>Is a or b + or - ve

2. a = b^2

Either a = +b or a = -b
Am i right or wrong

3. a^2 = b ^4

>>>.Which one is +or - ve

I have gone through various sources but i am getting confused over and again

Bunuel can u pls help...................
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Re: Nee help on fundamentals of Algebra [#permalink]

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26 Dec 2012, 22:46
Am not Bunuel but I can try
Archit143 wrote:
I m stuck with few concepts
1. a^2 = b^2
>>>>Is a or b + or - ve

This means that a = +b or -b
Do both a and b can be positive or negative or 0

Archit143 wrote:
2. a = b^2

Either a = +b or a = -b
Am i right or wrong

In this b can be + or - but a will be + or 0 for sure as b^2 cannot be negative in any case

Archit143 wrote:
3. a^2 = b ^4

>>>.Which one is +or - ve

I have gone through various sources but i am getting confused over and again

Bunuel can u pls help...................

Here both a and b can be positive negative or 0 as
a= +b^2 or -b^2

Hope it helps!
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Re: Nee help on fundamentals of Algebra [#permalink]

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26 Dec 2012, 22:52
Archit143 wrote:
I m stuck with few concepts
1. a^2 = b^2
>>>>Is a or b + or - ve

2. a = b^2

Either a = +b or a = -b
Am i right or wrong

3. a^2 = b ^4

>>>.Which one is +or - ve

I have gone through various sources but i am getting confused over and again

Bunuel can u pls help...................

1. When $$a^2 = b^2$$ and you want to take square root then the answer is

$$|a|=|b|$$ Now when you open the MOD the answer becomes $$a = +- b$$

2. You are wrong. Apply the above rule and you would $$\sqrt{a}= b$$
b = positive because square root of value is always positive.

3. a^2 = b ^4.. Again apply the rule of 1. You will get $$|a|=|b^2|$$
Since $$b^2$$ is always positive => a is always positive. Thus $$a = b^2$$
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VP
Status: Final Lap Up!!!
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WE: Engineering (Transportation)
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Kudos [?]: 532 [0], given: 70

Re: Nee help on fundamentals of Algebra [#permalink]

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27 Dec 2012, 08:50
Thnx all for clearing my doubt...
Re: Nee help on fundamentals of Algebra   [#permalink] 27 Dec 2012, 08:50
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