Let k be a positive real number. If the roots of the equation $$2 x ^ { 2 } + k x - 1 = 0$$ have a difference of 2, what is k? A) 1 B) 2 C) $\sqrt { 2 }$ D) $2 \sqrt { 2 }$ E) $\sqrt { 3 }$
Let k be a positive real number. If the roots of the equation
$$2 x ^ { 2 } + k x - 1 = 0$$
have a difference of 2, what is k?\\
A) 1\\
B) 2\\
C) $\sqrt { 2 }$\\
D) $2 \sqrt { 2 }$\\
E) $\sqrt { 3 }$