1. solve: 5+4x-2x^2=0

Question

2. find k so that the like kx-3y=4k is
a. parallel to like 2x-4y=1
- for this i got y=1/2x-1/4...
is that right?

b. perpendicular to line x-6y=2

Answer 1

1. multiply by -1 (switch all the signs)
2x^2 - 4x - 5 = 0
it does not factor, so use the quadratic equation

2. a) Slope of kx - 3y = 4k is k/3
slope of 2x-4y = 1 is 1/2
so k/3 = 1/2
k = 3/2

b) slope of x-6y = 2 is 1/6

so perpendicular lines have slopes that are negative reciprocals of each other
then ....
k/3 = -(2/1)
solve for k