What is the value of k for which the quadratic equation 3x2 - kx +k=0 has equal roots?
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Answer:
3x 2−2kx+12=0 will have equal roots are 6 and −6.
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for ax²+bx+c =0 to have equal roots then
b²-4ac =0
in given equation b= -k, c=k, a=3
k² - 4×3×k =0
k²-12k =0
k(k-12) =0
k=0 or 12
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