<u>Answer:</u>
The roots are real.
<u>Step-by-step explanation:</u>
Given quadratic equation to us is 4x² -4x -19 = 0.
With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .

Hence here , wrt Standard form ,
• a = 4 , • b = -4 & •c = -19 .
<u>Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real. </u>