Question

if -5 is a root of the quadratic equation 2x2+px-15 =0 and the quadratic eq p(x2+x)+k=0 has equal roots then find the value of p and k

Answer 1

put x= -5 in 1st eqn.
50 -15= 5p
p=6

in 2nd eqn find D= discriminant and get k from D=0