+0  
 
+1
129
3
avatar+604 

 

What number can we place in the box to make the quadratic below the square of a binomial:

 

                                                          \( x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}. \)

gueesstt  Apr 22, 2018

Best Answer 

 #1
avatar+867 
+3

Hi gueesstt, to make this a square of a bunomial, we must take the square of one half of the coefficient of the term where the degree of x is 1. 

 

So the coefficient of the term where the degree of x is 1, is 5/3.

 

We must take the square of one half of that.

 

First, one half of 5/3 is 5/6.

 

Then we take the square of that, which is 25/36. 

 

That is the number that makes the quadratic a square of a binomial. 

GYanggg  Apr 22, 2018
 #1
avatar+867 
+3
Best Answer

Hi gueesstt, to make this a square of a bunomial, we must take the square of one half of the coefficient of the term where the degree of x is 1. 

 

So the coefficient of the term where the degree of x is 1, is 5/3.

 

We must take the square of one half of that.

 

First, one half of 5/3 is 5/6.

 

Then we take the square of that, which is 25/36. 

 

That is the number that makes the quadratic a square of a binomial. 

GYanggg  Apr 22, 2018
 #3
avatar+604 
+1

Thank you so much!

gueesstt  Apr 22, 2018
 #2
avatar+867 
+2

I'm done for today, I will continue on the rest of your problem tommorow. 

 

I know how to do them but I'm just too tired. 

GYanggg  Apr 22, 2018

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