A Ninth Grade Inequality

Algebra Level 4

\[\large (x-100)^4+(x-102)^4+30(x-100)^2(x-102)^2\] If \(x\) is a real number larger than 101, then find the minimum value of the experssion above.

Let this value be denoted as \(y\), submit your answer as \(y\) plus the value of \(x\) as this minimum value.

Give your answer to 2 decimal places.

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