Equation, algebra manipulation that I dont get? help

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SUMMARY

The discussion centers on the algebraic manipulation of the equation 1/2kx² = 1/2mv² + 1/2kx². It is clarified that the correct transformation does not yield x = (m/k)v² + x², but rather x = sqrt((m/k)v² + x²). This highlights the importance of correctly applying square root operations in algebraic equations.

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nchin
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how does

1/2kx2 = 1/2mv2 + 1/2kx2

become

x = (m/k)v2 + x2 ??
 
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It doesn't. It becomes sqrt((m/k)v2 + x2)
 

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