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What are the ordered pairs of the solutions for this system of equations?

 

f(x) = x^2 - 2x + 3

f(x) = -6x

 Mar 16, 2021
 #1
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y=  x^2  - 2x  + 3

 

y=  -6x      

 

Setting the equations  =     we  have  that

 

x^2  - 2x + 3 =  -6x     rearrange  as

 

x^2  + 4x  + 3  =   0       factor  as

 

(x  + 3)  ( x + 1)  =  0

 

Set each factor to 0 and solve  for  x  and we  get that

 

x= -3      and y  = -6(-3) =  18

 

x=  -1    and  y = -6(-1)  =  6

 

Solutions :   ( -3, 18)   and  (  -1, 6) 

 

 

cool cool cool

 Mar 16, 2021

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