Answer:
k > 8
Step-by-step explanation:
Step 1: We know in order for a quadratic equation to have 2 distinct solutions the discriminant has to be positive
Important formula: Discriminant = [tex]b^{2}-4ac[/tex]
Step 2: Input information into discriminant
[tex]b^{2}-4ac[/tex] > 0
[tex]k^{2}-4(2)(8)[/tex] > 0
[tex]k^{2}-64[/tex] > 0
[tex]k^{2}[/tex] > 64
[tex]\sqrt{ k^{2}}>\sqrt{64}[/tex]
k > 8
Therefore in order for the equation to have 2 distinct solutions is to have k > 8
