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Hi, I am confused about how to solve this problem

Find all possible values of $\dfrac{d}{a}$ where $a^2-6ad+8d^2=0$, $a\neq 0$. Enter all possible values, separated by commas.

 Dec 11, 2020
 #1
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(1/2a - d)(2a-8d) = 0

a^2 -4ad -2ad+8d^2 = 0

a^2-6ad=8d^2 = 0

    so   1/2a = d       d/a = 1/2

           or   2a = 8d    d/a = 2/8    

 

 


 

 Dec 11, 2020
 #2
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Wait, but are you sure that that is all the possible values? Somehow I feel that there should be two values. I'm not sure though.

Guest Dec 11, 2020
 #3
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Wait, nevermind, I see now that you put two values.

Guest Dec 11, 2020

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