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22 April, 22:08

For which equation does it make the most sense to solve by completing the square?

5x² + 3x = 9

3x2-x+17=0

x² + 20x = 52

x2-8=1

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  1. 22 April, 22:18
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    x² + 20x = 52. Why? Completing the square is easier for this equation in comparison to completing the square for the first two equations.

    x^2-8=1 becomes x^2=9, so that x=plus or minus 3. Why bother with completing the square here?

    x^2 + 20x = 52

    x^2 + 20x + 100 - 100 = 52

    (x+10) ^2 = 152

    taking the sqrt of both sides:

    x+10 = plus or minus sqrt (152) (and so on).
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