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Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.
\(x^2 + \dfrac{4}{5}x + \boxed{\phantom{000}}\)

 

:D

 Apr 14, 2020
 #1
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I learned this!  (x + 4/5)^2 = x^2 + 4/5*x + 16/25, so 16/25 goes in the box.

 Apr 14, 2020
 #2
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Sorry guest but that is not correct.

 

half of 4/5 is 2/5

 

(2/5)^2 = 4/25

 

\((x+\frac{2}{5})^2 = x^2+2*\frac{2x}{5}+(\frac{2}{5})^2\)

Melody  Apr 14, 2020

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