Question

find the range r if the quadratic equation x(x-2)=2(x+r) has no real roots

Answer 1

HINT: Discriminant will be less than 0

Answer 2

x^2 -2x - 2x -2r = 0
x^2 - 4x - 2r = 0
delta = 4 + 2r < 0
-> r < -2

Answer 3

x^2 -2x - 2x -2r = 0
x^2 - 4x - 2r = 0
(-4)^2 -4(1) (-2r)<0
16 +8r<0
8r<-16
r<-2....
is it right?

Answer 4

yes, seems good to my tired eyes.

Answer 5

haha..Thank You