If 3 is a root of the equation, 2x^2+kx-5=0, find k and the other root

Answer 1

Using Vieta's formulas we know that if x is the other root of the quadratic we have 3+x=-k/2 and 3x=-5/2. So the second root equals x=-5/6 and plugging this into the first equation we find that k=-13/3.