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The area of a square, in square units, is 38 more than 10 times the length of a side of the square, in units.

Find all possible values for the side length of the square.

 Mar 26, 2024
 #1
avatar+128399 
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Call the side, s

 

s^2 = 10s + 38

 

s^2  - 10s  =  38

 

s^2 -10s + 25 =  38 + 25

 

(s - 5)^2  = 63       take  both roots

 

s - 5  = sqrt (63)                   s - 5 =  -sqrt (63)

 

s = 5 + sqrt (63)                  s =  -5 -sqrt (63)    reject

 

s ≈ 12.94

 

 

cool cool cool

 Mar 27, 2024

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