#1**+3 **

a) for REAL roots, the discriminant of the quadratic equation must be > 0

a = 1 b = (3k-1) c =10 + 2k

b^2 - 4ac >0 sub in the values above and solve for 'k' .... can you take it from here with that help?

Second part For TWO EQUAL roots the discriminat must = 0

b^2 - 4ac = 0 a b c are the same as above

ElectricPavlov Jul 9, 2021