Question

Solve using elimination

The equations below model the numbers y of two portable music players sold x days after both players were introduced. On what day(s) did the company sell the same number of each player? How many players of each type were sold?
Player A : y=48x+20
Player B : y=-x^2+200x+20
-----------
So far I've subtracted B from A, giving me :

0=x^2-152x

Was this the right thing to do? I don't know how to solve it from here, since it cannot be factored... Or does this mean theres no solution?

Thank you!

Answer 1

well, it was good that you did subtract A from B to get
0=x^2-152x
then factor out the x (what do you mean it cannot be factored?)
0=x(x-152)
x=0 or 0=x-152 so x=152

so on day 0 and day 152