SOLUTION: For what value(s) of k does the system of equations Y=x^2-3x+5 Y=kx Have only 1 solution. Leave your answers in exact form.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: For what value(s) of k does the system of equations Y=x^2-3x+5 Y=kx Have only 1 solution. Leave your answers in exact form.       Log On


   

Question 985092: For what value(s) of k does the system of equations
Y=x^2-3x+5
Y=kx
Have only 1 solution.
Leave your answers in exact form.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-3x%2B5=kx

x%5E2-3x%2B5-kx=0

x%5E2-%28k%2B3%29x%2B5=0

Discriminant is %28k%2B3%29%5E2-4%2A5.

The original system will have exactly one solution if the discriminant is 0.
%28k%2B3%29%5E2-20=0
Solve this for k.