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Harisali
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Yes that is probably the right way .good luck on your prep journey

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Hi,

I am looking for a dedicated study buddy who is planning to take GMAT in July or August, and targeting a score of 750+.
If anyone is interested, please connect with me.

Thanks
Sachin

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Hi Bunuel and bb sir,

I need your help to solve the following equation. It is part of a larger DS question.

|X| + X^2 = 2X

My solution is:

If assume cases here:
1. |X| = X
then the equation becomes >>> X+X^2 =2X
=X^2 -X = 0

= X(X-1) = 0

2 possible values of X that are X=0 or X =1


Case 2: |X| = - X

now, LHS is -X + X^2

Should RHS also be -2X or it should remain +2X because the answer changes with this consideration.

Thanks in advance.
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Bunuel
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AkankshaGMAT1989
Hi Bunuel and bb sir,

I need your help to solve the following equation. It is part of a larger DS question.

|X| + X^2 = 2X

My solution is:

If assume cases here:
1. |X| = X
then the equation becomes >>> X+X^2 =2X
=X^2 -X = 0

= X(X-1) = 0

2 possible values of X that are X=0 or X =1


Case 2: |X| = - X

now, LHS is -X + X^2

Should RHS also be -2X or it should remain +2X because the answer changes with this consideration.

Thanks in advance.

You are replacing |x| with -x, when x < 0, but why should you replace x with -x? So, the answer to your question is NO.

|x| + x^2 = 2x

When x < 0, then |x| = -x, and in this case we'd get -x + x^2 = 2x, which gives x = 0 or x = 3. Discard both solutions because neither 0 nor 3 is in the range we consider (x < 0).

When x >= 0, then |x| = x, and in this case we'd get x + x^2 = 2x, which gives x = 0 or x = 1. Both solutions are valid because both 0 and 1 are in the range we consider (x >= 0).

So, |x| + x^2 = 2x has two solutions only x = 0 or x = 1.
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Harisali
I have started with quants, and straight away went for Number properties MGMAT. I am able to grasp 60-70% of the content.

Is it the right approach?
Please guide and share source where I could practice Number properties specific questions?
My OG is on the way, may be once it is with me I will try questions there too.

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You are on a right track . :thumbsup: :thumbsup: I would suggest to go-through the gmat club math book and ques from each topic from gmatclub to solidify your learning and application .
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