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The length of the segment between the points (2a,a - 4) and (4,1) is units 2*sqrt(10). What is the product of all possible values for a?

 Jun 25, 2022
 #1
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Usig the square of the distance formula

 

(2a - 4)^2  + (a - 4 - 1)^2 =   (2sqrt (10) ) ^2

 

4a^2 - 16a + 16  +  (a - 5)^2  =  4*10

 

4a^2 - 16a + 16 + a^2 - 10a + 25 = 40   simplify

 

5a^2 - 26a  + 1  =  0

 

By Vieta.....the product of all possible values for a = 

 

1 / 5  

 

 

cool cool cool

 Jun 25, 2022

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