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Sneak Preview Problem: Report Error Fill in the blank with a constant, so that the resulting quadratic is the square of a binomial.\\( \[x^2 + \dfrac{4}{5}x + \underline{~~~~}\]\)

 Jul 30, 2020
 #1
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Completing the square: \(\displaystyle \left( x + \frac{4}{5} \right)^2 = x^2 + \frac{4}{5} x + \frac{16}{25}\)

 

Constant = 16/25

 Jul 30, 2020
 #2
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@guest who just answered the question, thats wrong.. :)

 Jul 30, 2020
 #3
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take 1/2 of the   'x' coefficient and add it to the equation

1/2 * 4/5   = 4/10       squared =     16/100        or      8/50    or    4/25

 Jul 30, 2020

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