We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
453
1
avatar+645 

Complete the square: 4x^2+ 5x +2
 

 Nov 8, 2017
 #1
avatar+104712 
+1

 4x^2+ 5x +2    factor out the 4

 

4 ( x^2  +  (5/4)x  + 2/4)

 

Take  (1/2)  of (5/4)  = 5/8......square it  = 25/64...add it and subtract it

 

4 ( x^2 + (5/4)x + 25/64  +  2/4 -  25/64 )

 

Factor the first three terms in the parentheses and simplify

 

4 [ ( x + 5/8)^2  +  32/64  - 25/64 ]

 

4 [ ( x + 5/8)^3  +  7 / 64]

 

4 ( x + 5/8)^2 +  7/16

 

 

cool cool cool

 Nov 8, 2017

29 Online Users

avatar