How Do You Complete the Square for Inverse Laplace Transform Denominators?

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SUMMARY

The discussion focuses on the technique of completing the square, specifically for simplifying expressions in the context of inverse Laplace transforms. The example provided illustrates the process using the expression x^2 - 2x + 5, which is transformed into (x - 1)^2 + 4. This method is essential for calculus and helps in solving differential equations by making the denominators more manageable.

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robertjford80
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those denominators are equal, trust me. Are you experiecned with completing the square; it's a good method to have down for calculus. Here's how I would have gone about it.

x^2-2x+5=x^2-2x+1+4=(x-1)^2+4

Right? Because to copmplete the square you take half of -2 and square it, which is 1.
 

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