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-1
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Find all solutions to:

ab + 2a + 2b = −16

ac + 2a + 2c = 26

bc + 2b + 2c = −44

 Jul 14, 2022
 #1
avatar+284 
0

Using Simon's Favorite Factoring Trick to all of the equations gives us:

(a + 2)(b + 2) = - 12

(a + 2)(c + 2) = 30

(b + 2)(c + 2) = -40

 

Multiply all those equations together gives us

(a+2)(b + 2)(c + 2) = 120

 

Applying these into the equations gives us: 

-12(c + 2) = 120

30(b + 2) = 120

-40(a + 2) = 120

 

c = - 12

b = 2

a = -5

 Jul 14, 2022

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