Help with Math
posted by Rachel on .
How would i determine the values of 'k' if the graph y=2x^22x+3k intersects the xaxis at two distinct points?

This is similar ot the other problem.
If the equation crosses the xaxis then y=0.
So you need to find the solutions for
0=2x^22x+3k
using the general equation we get
x=2+/(44.2.3k)^.5/4
for there to be real values
424k>0 (we can't square root a number less than zero, and it can't equal zero as the question says there are two distinct points. Zero would give us two coincident points)
so 4>24k or k<4/24 k<0.1667
Check my working!