+610
What number can we place in the box to make the quadratic below the square of a binomial:
\( x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}. \)
+981 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.
+981 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.
