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Quadratic Equations

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Source: — Data Sufficiency |
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by mehravikas » Sun Nov 29, 2009 3:46 pm
Statement 1 is insufficient.

Square both the sides, you'll get 36x^2 = 3x

36x^2 - 3x = 0
Solving the above equation you will get x = 1/12 or x = 0

Therefore x has two values. from statement 2 you know x > 0. i.e. x = 1/12
Last edited by mehravikas on Tue Dec 01, 2009 11:11 am, edited 1 time in total.
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by hariharakarthi » Tue Dec 01, 2009 9:22 am
Please explain why A is not correct answer.

Using the staement 1. I got 36X^2=3x

Is there any rule on equations to not to divide or multiply by variables? Can anyone confirm this? But, I know we can not divide or multiply by a variable in inequality equation as long as we do not know the sign of the variable.

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by mp2437 » Tue Dec 01, 2009 10:42 am
The poster above you answered the question. solving for x could give you x = 1/12 or x = 0. They are asking you for the value of X, so you need 1 specific number. Statement 2 eliminates the possibility that x = 0 and leaves you with x = 1/12.
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by mehravikas » Tue Dec 01, 2009 11:13 am
You should not divide or muliply the equations like this; x^2 = x

you should always solve it in the following way:

x^2 - x = 0
x(x-1) = 0
x = 0 or 1
hariharakarthi wrote:Please explain why A is not correct answer.

Using the staement 1. I got 36X^2=3x

Is there any rule on equations to not to divide or multiply by variables? Can anyone confirm this? But, I know we can not divide or multiply by a variable in inequality equation as long as we do not know the sign of the variable.

regards,
hhk
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by heshamelaziry » Tue Dec 01, 2009 10:15 pm
Guys, when do I check for erroneous solutions after squaring? do i check whnever i square both sides or only in certain situations ?
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by mehravikas » Wed Dec 02, 2009 1:00 pm
Can you give an equation or an example, I'll try to explain from that?
heshamelaziry wrote:Guys, when do I check for erroneous solutions after squaring? do i check whnever i square both sides or only in certain situations ?
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by heshamelaziry » Wed Dec 02, 2009 1:04 pm
mehravikas wrote:Can you give an equation or an example, I'll try to explain from that?
heshamelaziry wrote:Guys, when do I check for erroneous solutions after squaring? do i check whnever i square both sides or only in certain situations ?

y= sqrt 3y + 4
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by mehravikas » Wed Dec 02, 2009 1:10 pm
I think for such equations you have to check for erroneous solution as you will square both the sides to get a value of y.

Hope that helps..
heshamelaziry wrote:
mehravikas wrote:Can you give an equation or an example, I'll try to explain from that?
heshamelaziry wrote:Guys, when do I check for erroneous solutions after squaring? do i check whnever i square both sides or only in certain situations ?

y= sqrt 3y + 4
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