Question

if a and b are the roots of the equation 4x^2-√13x-7=0 then |a-b| is

Answer 1

$4 {x}^{2} - \sqrt{13} x - 7 = 0 \\ a + b = \frac{ \sqrt{13} }{4} \\ ab = \frac{ - 7}{4} \\ (a - b) {}^{2} = (a + b) {}^{2} - 4ab \\ (a - b) {}^{2} = \frac{13}{16} - 4( \frac{ - 7}{4} ) \\ a - b = ....$