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The distance between the points (x, 21) and (7,4) is 20√2. Find the sum of all possible values of x.

 Mar 15, 2021
 #1
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20sqrt (2)   =   sqrt (800)

 

Using  the  distance formula  we  have  that

 

( x - 7)^2  + (21 - 4)^2 =   (sqrt (800) )^2

 

( x - 7)^2  + 289  =800

 

(x  -7)^2  =  511     take both roots

 

x  - 7 =   sqrt (511)                  x  -   7 =   - sqrt (511)

 

x =  7 + sqrt (511)                  x =  7  - sqrt (511)

 

Sum of all possible  values of  x   =   14

 

 

 

cool cool cool

 Mar 15, 2021

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