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Data Sufficiency (DS) | Does a^2 + b^2 = 2ab?

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Bunuel wrote:

Does a^2 + b^2 = 2ab?

(1) a + b = 3
(2) ab > 0


Simplying the question stem,
\(a^2 + b^2 - 2ab = 0\) ->\(a^2 + b^2 + 2ab - 4ab = 0\) ->\((a + b)^2 - 4ab = 0\)

The information given in either statement is not enough separately, but when we combine the
information from both the statements,

the question stem becomes\(9 - 4ab = 0\) where ab > 0

However,2 cases are possible

Case 1: ab = 2.25, then the equation is true!
Case 2: ab = 3, the equation is not true (Insufficient - Option
...

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