What is the largest value of k such that the equation 6x-x^2=k has at least one real solution?
6x – x2 = k
6x – x2 – k = 0
times –1 x2 – 6x + k = 0
discriminant (–6)2 – (4)(1)(k) must be > 0 to have real solution(s)
36 – 4k > 0
k < 9
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