So $ u = 0, 2, $ or $ 3 $. Since $ x = u^2 $, the corresponding $ x $-values are:

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Exploring the Key Values of $ u $: $ 0, 2, $ and $ 3 $ — and Their Then-Valued $ x $ from $ x = u^2 $ When solving equations involving squares, understanding the fundamental input values is essential. One common algebraic scenario involves $ u = 0, 2, $ and $ 3 $ — numbers that appear frequently due to their simplicity and predictable behavior under squaring. This article examines these three $ u $-values and reveals what $ x = u^2 $ produces, a foundational transformation in both math and applied sciences. ### Why $ u = 0, 2, $ and $ 3 $? These values are strategically chosen because: