For what value of k does (k-12)xsquare +2 (k-12)x +2=0have equal roots
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b^2 - 4ac=0
0={2(k-12)}^2 - 2×2(k-12)
0={4(k^2+144-24k)}-4(k-12)
0=4k^2+576-96k-4k+48
0=4k^2-100k+624
0=k^2-25k+156
0=k^2-13k-12k+156
0=k(k-13)-12(k-13)
0=(k-12)(k-13)
k=12 or 13
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