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The distance between the points $A$ and $B$ is $\sqrt{34}.$  If $A = (a,4)$ and $B = (-20,33),$ then find the sum of all possible values of $a.$

 Jan 1, 2024
 #1
avatar+126665 
+1

(a - -20)^2  + (33 - 4)^2  = 34

 

(a + 20)^2  + 29^2  = 34

 

(a + 20)^2 =  34 - 29^2

 

(a + 20)^2   =  -807

 

No such real values for  a since the   left side can only  be  positive or  0

 

 

cool cool cool

 Jan 2, 2024

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