For the irrational equation
$$\sqrt { 4 x ^ { 2 } - 5 x + 7 } - 4 x ^ { 2 } + 5 x = 1$$
What is the product of all real roots? [3 points]\\
(1) $- \frac { 1 } { 2 }$\\
(2) $- \frac { 3 } { 2 }$\\
(3) $- \frac { 5 } { 2 }$\\
(4) $- \frac { 7 } { 2 }$\\
(5) $- \frac { 9 } { 2 }$