Points A and B are on the parabola y=4 x^{2}+7 x-1, and the origin is the midpoint of \overline{A B}. What is the length of \overline{A B} ?
Answer Choices
A. 2 \sqrt{5}
B. 5+\dfrac{\sqrt{2}}{2}
C. 5+\sqrt{2}
D. 7
E. 5 \sqrt{2}
Points A and B are on the parabola y=4 x^{2}+7 x-1, and the origin is the midpoint of \overline{A B}. What is the length of \overline{A B} ?
Answer Choices
A. 2 \sqrt{5}
B. 5+\dfrac{\sqrt{2}}{2}
C. 5+\sqrt{2}
D. 7
E. 5 \sqrt{2}