Determine the sum of all values of k for which the following equation in x has 2 equal roots:
\(kx^2+2x^2-3kx+k=0\)
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