Question

Find the set of values of k for which the line y=2x-5 cuts the curve y=x^2+kx+11 in two distinct points.

Answer 1

b^2-4ac

Answer 2

y=2x-5, y=x^2+kx+11
x^2+kx+11=2x-5
x^2-2x+kx+16=0
x^2+(-2+k)x+16=0
a=1 b=-2+k c=16

Answer 3

b^2-4ac=
(-2+k)-4(1)(16)=0
solve

Answer 4

Thank you very much (:

Answer 5

yw