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Determine the sum of all values of k for which the following equation in x has 2 equal roots:

\(kx^2+2x^2-3kx+k=0\)

 Jul 10, 2020
 #1
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Determinant of the quadratic formula  (b^2-4ac)  must equal zero for two equal roots

 

(   (-3k)2 - (4)(k+2)(k) ) = 0

9k2 - 4k2 - 8k = 0

5k^2 - 8k = 0

 

Quadratic formula shows k = 1.6     or  0

 Jul 10, 2020

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