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Fill in the blank with a constant, so that the resulting quadratic is the square of a binomial: x^2 + 5/4*x + ___

 Jul 10, 2021
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Take 1/2 of the x coefficient ....then square it

 

5/4 * 1/2 = 5/8         square it:   25 / 64

 

x^2 + 5/4 x + 25 / 64                is equal to   (x + 5/8)2

 Jul 10, 2021

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