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avatar+1405 

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+22010 
+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+22010 
+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+18138 
0

short answer:  (1/2b)^2

 Feb 28, 2018

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