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Given that \(0\le x_3 \le x_2 \le x_1\le 1\) and \((1-x_1)^2+(x_1-x_2)^2+(x_2-x_3)^2+x_3^2=\frac{1}{4},\) what's x_1?

 

Thanks in advance!

 Mar 26, 2020

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