In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I) k=0
II) k=−1
III) k=−3 Choices
A) I only	B) III only	C) I and II only	D) II and III only	E) I and III only
Please format the question properly.   Per the question, x^2+kx+1=0 with k=constant.   For a quadratic equation (ax2+bx+c=0) to have 2 distinct roots ---&gt; D=b2−4ac&gt;0 ---&gt; k^2−4&gt;0 ---&gt;k&lt;−2or k&gt;2 . Only III falls in these ranges.   III only is the correct answer.
<result>B</result>
In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I) k=0
II) k=−1
III) k=−3