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

#1**+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**+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