If the equation x^2−6x=2k has at least one solution, which of the following must be true?
Choose the correct choice from the following.
A) k > 9
B) k < −9
C) k = 9
D) k ≤ 9
E) k ≥ −9/2
x^2−6x=2k   =&gt; x^2−6x - 2k = 0   For a quadratic equation to have at least one solution, its discriminant (b^2-4ac) should be non-negative.   b^2-4ac ≥0   =&gt; 36 - 4*1*(-2k) ≥0   =&gt; 36 + 8k ≥0   =&gt; k ≥ -9/2   Answer k ≥ −9/2
<result>E</result>
If the equation x^2−6x=2k has at least one solution, which of the following must be true?