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L=√5/TW how do I solve for W

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Final answer:

To solve for W in the equation L = √5/TW, multiply both sides by TW, then divide by L, to finally get W = (√5 / T) / L.

Step-by-step explanation:

The student asked how to solve for W in the equation L = √5/TW. To isolate W, we can undertake a series of algebraic steps:

  • Multiply both sides of the equation by TW to get rid of the denominator next to W: L · TW = √5.
  • Divide both sides of the new equation by L to solve for TW: W = √5 / L.
  • We extract W from the TW term to complete the solution: W = (√5 / T) / L.

Through this process, we have successfully isolated W and expressed it in terms of L, T, and the constant 5.

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