\[ 4 - 10 = 9 - 15 \] => \[ 2^{2} - 2 \times 2 \times \frac {5}{2} = 3^{2} - 2 \times 3 \times \frac{5}{2} \] => \[ 2^{2} - 2 \times 2 \times \frac {5}{2} + (\frac{5}{2})^{2} = 3^{2} - 2 \times 3 \times \frac{5}{2} + (\frac{5}{2})^{2} \] => \[ ( 2 - \frac{5}{2})^{2} = ( 3 - \frac{5}{2})^{2} \] => \[ 2 - \frac{5}{2} = 3 - \frac{5}{2} \] => \[ 2 = 3 \]
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
If x2=y2 then ∣x∣=∣y∣.