If the equation x^2−x=k has at least one solution, which of the following must be true?  Choose the correct choice from the following options:
A) k ≥-1/4
B) k < −9
C) k = 9
D) k ≤ 9
E) k ≥ −9
x^2−x=k   =&gt; x^2−x - k = 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; 1- 4*1*(-k) ≥0   =&gt;1 + 4k ≥0   =&gt; k ≥ -14   k ≥-1/4nswer k ≥-1/4
<result>A</result>
If the equation x^2−x=k has at least one solution, which of the following must be true?