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If $\(a \clubsuit b = a^2 + 2ab + b^2\)$ and $\(2 \clubsuit x = 81\)$, find the sum of all possible values of $x$.

 Jul 22, 2018
 #1
avatar+27667 
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22 + 2*2*x + x2 = 81

 

x2 + 4x + 4 = 81

 

x2 + 4x - 77 = 0

 

(x + 11)(x - 7) = 0

 

x = -11 and x = 7

 

I’m sure you can sum these yourself!

 Jul 22, 2018

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