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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 17, 2018
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\( \[ x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}. \]\)

 

Take   1/2  of 5/3  =  5/6  ....square it   =  25/36

 

So

 

x^2  +  5/3x  +  25/36      factors as

 

(x  + 5/6 )^2

 

So.....  25/36 is what we need

 

 

cool cool cool

 Jan 17, 2018

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