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find the positive constant c that makes 4z^2+cz+0 the square of a binomial.

 Jul 4, 2022
 #1
avatar+124676 
0

4z^2 + cz +  0  ???

 

We can't get a squared binomial out of this Blizzardshine....you sure you wrote it correcty  ??

 

 

cool cool cool

 Jul 4, 2022
 #2
avatar+236 
+1

Oh, whoops! It's supposed to be 9.

Blizzardshine  Jul 4, 2022
 #3
avatar+124676 
+3

OK.....that's WAY better....LOL!!!

 

4z^2  + cz + 9

 

We want to write  (  az + b)^2

 

Easy....

Take the square root =  4 =  2   =  a

Take the square root of 9 = 3 = b

 

So

 

(2z + 3)^2  = 

 

(2z + 3) (2z + 3)  =

 

4z^2 + 3*2z + 3*2z + 9  =

 

4z^2 +  12z  +  9

 

c  =12

 

 

cool cool cool

CPhill  Jul 4, 2022

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