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What number can we place in the box to make the quadratic below the square of a binomial? \[ x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}} \]

 Jan 14, 2020
 #1
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x2 + 5/3 x   +   ?          Use 'completing the square ' method

 

take 1/2   of    5/3     = 5/6  and square it    25/36

 

x^2 + 5/3 x + 25/36   = (x + 5/6)2  

 Jan 14, 2020
 #2
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thank you! 

Guest Jan 14, 2020

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