+0  
 
+2
730
2
avatar+1495 

Help!! Please

 

Short Answer:

 

To complete the square with the following algebraic expression, what should the third term of the trinomial be?

 

x2+5/3x+_?

 Feb 28, 2018

Best Answer 

 #1
avatar+26393 
+1

Help!! Please

Short Answer:

To complete the square with the following algebraic expression, what should the third term of the trinomial be?

x2+5/3x+_?

 

I asume: \(x^2+\frac{5}{3}x +\ ? = \)

 

\(\begin{array}{|rcll|} \hline (x+a)^2 &=& x^2+\underbrace{2a}_{=\frac53}x+a^2 \\ && 2a = \frac53 \\ && a = \frac{5}{6} \\ && a^2 = \frac{5^2}{6^2} \\ && = \frac{25}{36} \\ \hline \end{array} \)

 

The third term of the trinomial is \(\mathbf{\frac{25}{36}}\)

 

laugh

 Feb 28, 2018
 #1
avatar+26393 
+1
Best Answer

Help!! Please

Short Answer:

To complete the square with the following algebraic expression, what should the third term of the trinomial be?

x2+5/3x+_?

 

I asume: \(x^2+\frac{5}{3}x +\ ? = \)

 

\(\begin{array}{|rcll|} \hline (x+a)^2 &=& x^2+\underbrace{2a}_{=\frac53}x+a^2 \\ && 2a = \frac53 \\ && a = \frac{5}{6} \\ && a^2 = \frac{5^2}{6^2} \\ && = \frac{25}{36} \\ \hline \end{array} \)

 

The third term of the trinomial is \(\mathbf{\frac{25}{36}}\)

 

laugh

heureka Feb 28, 2018
 #2
avatar+37146 
0

short answer:  (1/2b)^2

 Feb 28, 2018

1 Online Users