+0  
 
0
221
5
avatar+956 

I don't understand exactly what it wants. So is it asking for a function like this: 

2 functions: 

They have 1 zero, They have no zeroes: 

And when you add these two function they have 2 zeros. 


Am I correct? 

Julius  Jan 16, 2018
 #1
avatar+27228 
+3

Perhaps this will help:

 

.

Alan  Jan 16, 2018
 #2
avatar+956 
+1

Hmmmm 

 

The blue graph doesn't seem to have any zeros.

Julius  Jan 16, 2018
 #4
avatar+27228 
+2

The blue graph crosses the line y = 0 twice; once between -1 and -2 And once between 0 and 1.

Alan  Jan 16, 2018
 #3
avatar+92674 
+2

Assuming we are talking about real zeroes....

Let one function be    2( x - 2) ^2   = 2 x^2  - 8 x  + 8    whch  has one zero  at  x  = 2

Let the second be   -x^2  -  17       which has no real zeroes

  

So....their sum  is

 

x^2  -  8x  -  9         factor

 

(x - 9) (x + 1)   

 

The zeroes  are   x  = 9  and x  =  -1

 

See the graphs here :  https://www.desmos.com/calculator/fre2biof7f

 

 

cool cool cool

CPhill  Jan 16, 2018
 #5
avatar+956 
+1

Yeah that makes sense. Thanks both of you! 

Julius  Jan 16, 2018

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