maxkay47 wrote:

Hey Guys,

as I have found this forum today I would like to share my thoughts on the GMAT with you. I´ve began preparing for the test about a week ago and right now I´m still fighting easy problems.

I got a qestion that needs two equations two be created. I got the first equation, which is:

\sqrt{3-2x} = \sqrt{2x}+1

When I square both sides, I do get

3-2x = ?

My problem is that I don´t know any rule that leads to the correct term on the right side, which Is (as indicated in the explanations)

3-2x = 2x+2*\sqrt{2x}+1

Anyone any idea how this works?

Maybe some of you can help me with this.

Thanks in advance

Max

How do you square a sum of two terms?

\((a + b)^2 = a^2 + 2*a*b + b^2\) Use this. If you don't know this, check out an algebra book first. This is a basic algebraic identity and you need to know this and similar identities for GMAT.

\((\sqrt{2x}+1)^2 = (\sqrt{2x})^2+2*\sqrt{2x}*1+1^2\)

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